Direct link to Dina Doumani's post you can get the the decre, Posted 4 years ago. d) What price should the company charge to maximize revenue? bit about their income. Find the equation of the Axis of Symmetry 3. Quadratic Equation Word Problems Take the young mathematician in you on a jaunt to this printable compilation of quadratic word problems and discover the role played by quadratic equations inspired from a variety of real-life scenarios! Watch Sal work through a harder Quadratic and exponential word problem. h/ CJ UVaJ j h/ Uh h/ H*hrY h/ H*h3 h/ hc j hc Uj8 hc hc EHUj2$gO b) What is the revenue if 100 units are sold? |qtgtsPC/#8>H1n9>SK`XE9z4Xo7xl[`!t>F'#MLp{e=YEOP(%"1xASiX. 6. Just find the vertex. Step 4: Once ( ) are separated, set each ( ) = to 0 and solve for the variable. You can improve your educational performance by studying regularly and practicing good study habits. so negative b is 4260. You can build a bright future by taking advantage of opportunities and planning for success. h/ CJ UVaJ j! If your price goes up, you're going to have fewer subscribers, so they tell us right over here. MAXIMIZING REVENUE WORD PROBLEMS INVOLVING QUADRATIC EQUATIONS Problem 1 : Solution : = (-10x + 550) x R(x) = -10x2 + 550x (c) To find the number of. Day 4: Min & Max WORD PROBLEMS 1 A vertex is a maximum if the parabola opens down (a 0) The Real Deal: How to maximize the Revenue. -1 This is when you don't charge anything, you're obviously going to have no income. Looking for a resource that can provide detailed, step-by-step explanations? 10.6 Applications of Quadratic Equations In this section we want to look at the applications that quadratic equations and functions have in the real world. negative is a positive. This question can be answered using common sense by simply looking at the choices : The first choice gives the option of $ 1.35 which will be too less as the costs won't be recovered. j}V_el(biF4sNe @,/c(["6s D d 8 D you could actually tackle that and you could do that just by Solve the problem: Graph the function, determine the reasonable domain for the problem, and determine a strategy for determining the maximum or minimum value of the function, then calculate that value. . endstream endobj 69 0 obj <> endobj 70 0 obj <>/Rotate 0/Type/Page>> endobj 71 0 obj <>stream h/ CJ UVaJ jQ; h/ h/ EHUji!gO Applications of quadratic functions word problems - Quadratic-based word problems are the third type of word problems covered in MATQ 1099, with the first. writing S, we can write, we can write 4260 minus 200 P and then times P, times P. Now we can distribute, 3 " ` ? get, we're going to get the subscribers are going to A downward opening subscribers themselves are going to be a function of And the current monthly I am really confused about this, on the real SAT does it actually format like this? a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum? . Proudly created with. So this is going to be equal to zero either when P equals zero, a) Give the function to be maximized/minimized (in terms of x). We previously noted that a linear demand price function has a negative slope. These questions are so hard, they should be illegal -_-. For each of the quadratic functions provided, students will need to: 1. The max revenue will occur when you lower the rent to $300 - 5(10) = $250 and the max revenue will be is going to be equal to 10 and 13, 13, 13/20. for every $0.10 increase in ticket price, the dance committee projects that attendance will decrease by 5. And now we can add, we # I am passionate about my career and enjoy helping others achieve their career goals. A company has determined that if the price of an item is $40, then 150 will be demanded This PDF provides a full solution to the problem. (a) Find the linear price-demand function. 2 A]F$Ib o * `!g A]F$Ib. So let's multiply that, Step 4. Example 4: Find the formula for the revenue function if the price-demand function of a product is . Economics: Marginal Cost & Revenue - Problem 1. Math is a subject that can be difficult for some students to grasp. 2 Qy_|u.F `! Qy_|u.F( R x]Q.Q=NLD+*?ii+Flt,xRc%Q2;=! This question can be answered using common sense by simply looking at the choices : Sometimes math can be surprising, it's best not to take chances unless your under extreme time pressure. sal am totally confuse even by rewatching it over and over.i rather skip this kind of question in SAT. if you don't charge anything. problems: if you want to minimize the square root of a quadratic, that's the same as making the quadratic as small as possible. Similar to above question, the maximum of the revenue would be at (-b/2a) i.e. Once you have found the key details, you will be able to work out what the problem is and how to solve it. So that's going to be So your maximum point is h3 CJ UVaJ j h3 Uh3 h : 5CJ aJ h 5CJ aJ hC! 5CJ aJ hJ hJ 5CJ aJ $ % & ! And so, if we wanted to write Maximizing Revenue Word Problem (Completing the Square): Straightforward Worked Example! endstream endobj startxref A market survey shows that for every If you want to enhance your academic performance, start by setting realistic goals. out, what are the P values that it gets to zero income, and then the one that's z[/>_zo]{r0 V?[ HAZ7u2 5j0XG?Gsj1M5uj w/mK6J~VFupy3R{ gv.X+JW 7tZTogw|z4)fU!JZA]#rdYVNy? Multiplying out the two binomials in R(x) gives: R(x) is an inverted parabola, so the vertex will be the maximum revenue. So before I actually even do that, let me simplify this a little bit. Writing a quadratic function to model the revenue of a word problem and using it to determine the price of a product that with maximize the. Sal solves a word problem about a ball being shot in the air. You can say, when does 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning. Don't try to figure out where they got it from. The maximum revenue is the value of the quadratic function (1) at z = 2" R = = -200 + 400 + 1600 = 1800 dollars. To solve a math equation, you need to find the value of the variable that makes the equation true. %PDF-1.4 h_ CJ UVaJ h/ j h_ h_ EHUjW gO Well, let me just see, this is going to be 40 goes into 426 10 as a function of price, is 4260 P minus 200 P squared. About the Author. %PDF-1.4 % Philip P. A positive number x and its reciprocal are added together. The cost is $0.65 a loaf. The revenue is the price $80+x\cdot 5$ by the number of sales. c) At what horizontal distance from the face of the cliff will the projectile strike the water? For Free. 8 9 : ; A B Y Z [ \ zk^ jP' h/ h/ EHUj"gO The rocket's height above the surface of the lake is given by g(x)= . and that makes sense. Check out our website for a wide variety of solutions to fit your needs. Recall that the x-coordinate of the maximum point 6) A farmer has 3000 feet of fence available to enclose a rectangular field. 5. equal to zero either when P is equal to zero or, or when 4260, 4260 minus Our explanations are clear and easy to follow, so you can get the information you need quickly and efficiently. The second choice gives the option of $9.30 which is no change and the question says the prices can be increased. A link to the app was sent to your phone. SDysC Pbp .gC}?y!~:lPbH4"p5;evr% @1vDg7KG5JEx{3y:-mFgoWv2RqdE_eNuQK=SKg;p3Mj^\;v?e+>C 1Zq:#1i # The graph of the related function, y = -0.1x2 + 1.2x + 32.5, opens downward and thus has a maximum point. where x = the number of $5 decreases in rent. price would maximize revenue? The revenue R is the product R = n*P, or R = n*(800-5*(n-100)) = 800n - 5n^2 + 500n = 1300n - 5n^2 = 5n*(260-n). (Hint: set the triangle with the right angle at the origin of a graph and write the equation of the line containing the hypotenuse) 3cm SHAPE \* MERGEFORMAT 4cm 5) Luci Lulu opened a cookie store in the mall. 2 AUczT5xq. `! AUczT5xq. U xT=hSQ>LDWvHcCiuI IcDb6! 84 0 obj <>/Filter/FlateDecode/ID[<2BA88866FC2ED24CA760502F6F44A532>]/Index[68 32]/Info 67 0 R/Length 82/Prev 147803/Root 69 0 R/Size 100/Type/XRef/W[1 2 1]>>stream Average satisfaction rating 4.9/5. revenue ? Price = independent variable and demand = dependent variable. Get Help is here to help you with whatever you need. And luckily, we see that choice, we see that choice right over there. This quiz covers the following topics: Equation for the vertical position of an object in freefall as a function of time. And then we can distribute this 200. Based on a survey conducted, And this is when you charge so much, you're gonna lose all your subscribers and you'll have no income. Solve using the quadratic formula where a = 195, b = 20, and c = .21. Quadratic Word Problems.notebook. The revenue function is R (x) = xp, where x is the number of items sold and p is the price per item. B is this right over here, when 275 units sold, we can get the maximum revenue. MAXIMIZING REVENUE WORD PROBLEMS INVOLVING QUADRATIC EQUATIONS Problem 1 : Solution : = (-10x + 550) x R(x) = -10x2 + 550x (c) To find the number of. So plus 1860, that's negative c $  A ? Find the integers. Most quadratic word problems should seem very familiar, as they are built from the linear problems that you've done in the past. If it was upward opening, to be the maximum point. This app is amazing and a life saver. c $  A ? Multiplying this out gives us: A common application of quadratics comes from revenue and distance problems. MAXIMIZING REVENUE WORD PROBLEMS INVOLVING QUADRATIC EQUATIONS Problem 1 : Solution : = (-10x + 550) x R(x) = -10x2 + 550x (c) To find the number of. What will the dimensions be? Using your sketch from step 3, nd the minimum or maximum value of the quantity you want to optimize. 1. I'm so confused. - YouTube 0:00 / 8:04 Maximizing Revenue Word Problem (Completing the Square): Straightforward. ? I need help in answering. So at the current price, If you're seeing this message, it means we're having trouble loading external resources on our website. IT EVEN GIVES IN-DEPTH EXPLANATIONS AND GRAPHS! In many quadratic max/min problems, you'll be given the formula you need to use. EBY)t6|Gs4AXN5RFw36 >v>HR 9jD Ht#rUJ {-400/2(-40)} = 5. Determine the direction of opening 4. > " q` bjbjqPqP ., : : L L L L 4 \ \ \ \ ' ) ) ) ) ) ) $ ^ h M " M \ \ / b 8 \ \ ' ' \ 0' L O ' x 0 h O h h | M M D L L Quadratic Functions Word Problems 1 1) The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price EMBED Equation.DSMT4 that it charges. Direct link to Henry's post same thing i was thinking, Posted 8 years ago. negative 200 P squared plus 42, 4260 P. So this is a quadratic, and it is a downward opening quadratic. this is gonna be the P axis, we know it's gonna be a The vertex is located at (10, 250,000). going to be at 4260 over 400, which is exactly what Studies show that employees on an assembly line become more efficient as their level of training goes up. Direct link to Pongpol Anuntasilpa's post the easy way to think is , Posted 2 years ago. To find the marginal cost, derive the total cost function to find C' (x). h/ CJ UVaJ h/ j h/ Uj h_ h/ EHU $ q r s 2 3 J K L M | } pc j5 hc hc EHUj#gO And since you have no constant term, you actually can just factor a P, so you say, P times 4260 9) The price EMBED Equation.DSMT4 (in dollars) and the quantity EMBED Equation.DSMT4 sold of a certain product obey the demand equation EMBED Equation.DSMT4 EMBED Equation.DSMT4 . Based on a survey conducted, Currently, 800 units are rented at $300/month. the vertex is going to be the coefficient, the Direct link to Caleb Reardon's post This question can be answ, Posted 4 years ago. The breakeven point occurs where profit is zero or when revenue equals cost. So their income, let's The math equation is simple, but it's still confusing. I'd recommend this app to anyone, anyday, i have the paid version because I have a math heavy semester, great for quickly checking results of self-made exercises, it's always accurate, I havent found a time where it's been wrong yet. This website's owner is mathematician Milo . % The revenue equation based on the survey is R = (500 - 10x) (20 + 1x). a Question Max min revenue word problems - Step 1: Identify key information in the revenue word problem (Look above in the it asks you to solve for the fare that will . h/ CJ UVaJ jA$ h/ h/ EHUjy"gO The numbers of sales decreases by $10$ times the numbers of times you increased the price: $300-10\cdot x$. (d) At what price is the company selling the cameras at when the revenue is maximized? Revenue = Quantity Demand Price ( Quantity). So we need to figure out, we 3 " ` ? .0CZRc:lcYaqy(O7`l@mK-"-ohL_)%eB2$Zhx)nOhJof(q4AZL}B|">c9(f~@Y. Step 5: Check each of the roots in the ORIGINAL quadratic equation. coordinate of the vertex of this parabola. The revenue R is the product R = n*P, or R = n*(800-5*(n-100)) = 800n - 5n^2 + 500n = 1300n - 5n^2 = 5n*(260-n). hVn8> (.EPp'4Ig+7(iA%y. 5,X0cahadX9) qH2Or}D"<73E*x-=ggYh*+Wc]u84$&lIOf3SlbU<14b(JgiJ >-=&ygtFk:<3dqJnS3ZWiqAdm)r_-LF.ie$c2*YL*;uA9Hs*M6}ou^8mVD{P}w>rb~D{s}aKhgn~wF\6.nhF@'0d2aDDWZ'GY^2OjdUEw7`u$EY-0;@4][\ "Pi+ZLGS4A !%mTL6*BkJLFDZ1J8/|W}5glaeL+(.$BX0pC#S|'_MR7.\j{yYO1]?. That's one way to do it. Oh, I'm going to be careful here. Expression a quadratic function in three different forms: standard, vertex, and factored; Finding a quadratic function given three distinct points on its graph; Finding a function to model a real-life parabola; Solving quadratic equations algebraically and graphically; Solving real life problems by creating and using quadratic models If you need help, our customer service team is available 24/7. Because the question says maximize we need to find the vertex of R = (500 - 10x) (20 +, The vertex is located at (10, 250,000). ]ks}v_%xx;n%v~F"a**?zU^yl2f] &u373 lqkPR In just five seconds, you can get the answer to any question you have. Answer. What is the smallest possible sum? The sum of the squares of two consecutive even integers is 452. 200 times negative 9.3. times negative $9.30, let's see, that's going Maximum revenue word problems worksheet - MAXIMUM PROFIT WORKSHEET KEY. Extra Prractice quadratic word problems section 1.1 thru 1.4. A grocer sells 50 loaves of bread a day. Specify the domain of the function 7. l"1X[00Yqe6 Determine whether the graph has a maximum value or a minimum value. Our team is dedicated to providing the best possible service to our customers. ? 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, The Periodic Chart of Table of the Elements. Making educational experiences better for everyone. First, the area of this rectangle is given by LW L W, meaning that, for this rectangle, LW = 50 L W = 50, or (W +5)W = 50 ( W + 5) W = 50. The grocer. 0 Find the vertex 2. Step 3: Create your equation for revenue in the form: Revenue= (Price)(Number of). Step 1: Identify key information in the revenue word problem (Look above in the sample problem to see key information highlighted). Very precise shows each and every calculation step by step which visualizes our mistakes which we have done on our first try. more Follows 3 Expert Answers 2 Quadratic Word Problems 04/27/16 The height EMBED Equation.DSMT4 of the projectile above the water is given by EMBED Equation.DSMT4 where EMBED Equation.DSMT4 is the horizontal distance of the projectile from the face of the cliff. he did this incredibly slowly. Determine the dance committee's greatest possible revenue. Direct link to Casey Edmundson's post These questions are so ha, Posted 6 years ago. 4260 minus 200 P, minus You will need to use keywords to interpret the English and, from that, create the quadratic model. h3 CJ UVaJ jI h] h3 EHUj;'K In this case, Max is. ]| N^CszLKYlUR[{N+uf.F '7K/l~wz7|a^I|^V11o>dfm0}q'.gc.5f+$&9;?jfJ1Sb0xs rgif6Pc Yu''l d%*/T 2p nleNO~~qS{Uvz6j@`W}OMkkNY3]y8)Z7 QPcvqWT3 x/'I1ctj`~`gC\r-kV\2iM[1n9uA,=G?60hvv1L ?AhB)TtF'GgeqWE?,rb|P[ PFq>} jXY{IAB64[R(FP :mxIi{wgZx^) gG$ Choose an expert and meet online. h_ h/ EHUj h_ h/ EHUj4 gO 10) A projectile is fired from a cliff 200 feet above the water at an inclination of EMBED Equation.DSMT4 to the horizontal, with a muzzle velocity of 50 feet per second. 3 " ` ? Assuming you want a sentence related to the background information: The best way to learn something new is to break it down into small, manageable steps. 3  @@ " ? ? 7. Plot y = Revenue is presented as the function of the projected decrease of price So if we do that, we get income is equal to, instead of answered 11/03/17. The break-even point occurs when the total revenue equals the total cost - or, in other words, when the profit is zero. Direct link to tersooupaajr's post he did this incredibly sl, Posted 3 years ago. He's supposed to multiply by 0.10 not divide. )l; t Ekh!&f2yd^(Qw"-Zi[g 6=NWy*Dc||9i{? D d Solve each using the quadratic equation (4 questions) Properties of Functions Intro (Thursday, March 10) Properties Lab. MAXIMIZING REVENUE WORD PROBLEMS INVOLVING QUADRATIC EQUATIONS Problem 1 : Solution : = (-10x + 550) x R(x) = -10x2 + 550x (c) To find the number of 4) Find the area of the largest rectangle that can be inscribed in a right triangle with legs of lengths 3 cm and 4 cm if two sides of the rectangle lie along the legs as shown in the figure. Quadratic word problems (standard form) Math > Algebra 1 > Quadratic functions & equations > Quadratic standard form . For example, in the sample problem above, it asks you to solve for the fare that will produce the maximum revenue. This can be quickly punched into a calculator where the vertex can be found, multiplied by 0.1 and then added to the original price. [l5PwR? they expected to lose 20 subscribers for each $0.10 increase from the current monthly So you get 4,260 minus 200 P. So we now have a simplified subscribers as a function of price, and now we can substitute In this case, it's going Welcome to MathPortal. going to have income purely as a function of price. If the farmer does not fence the side along the river, what is the largest area that he can enclose? About About this video Transcript. Another way to do it Help's with math SO much, so helpful only bad thing is you have to upgrade to view the steps but it still gives you the answer if you don't definitely get it if you want answers in seconds . Find the coefficients a,b and c. Solution to Problem 5 Function C is a quadratic function. quadratic function (word problem) A ball is thrown up in the air from the ground and follow the function h (t) = 50t - 4.90t2 where t is time in seconds. over 2 times negative 200, so that's gonna be negative 400. 1. a) Write the perimeter of a square as a function of the length of its side. The midpoint of these zeros is (50-20)2=15. That's interesting. Word Problems on Quadratic Equations: In algebra, a quadratic equation is an equation of second degree. When the price is $45, then 100 items are demanded by consumers. Posted 7 years ago. Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. this thing equal zero? Solve each bracket for zero just like any other quadratic equation. Our team of teachers is here to help you with whatever you need. hbbd``b` $AC $ j $X4:'zb"@F_a`bdd100RDg\ "+ So this part right over 99 0 obj <>stream Direct link to Andrew Escobedo's post Sometimes math can be sur, Posted 5 years ago. You decide that if you raise your price by $4, you will lose 12 clients. The max revenue will occur when you lower the rent to $300 - 5(10) = $250 and the. (c) Find the number of items sold that will give the maximum revenue. The max revenue will occur when you lower the rent to $300 - 5(10) = $250 and the max revenue will be b) Give the appropriate interval for x. c) Find the derivative. (c) To find the number of units sold to get the maximum revenue, we should find "y" coordinate at the maximum point. The function R(x) = 5x*(260-x) is the parabola, Work on the task that is enjoyable to you, Free time to spend with your family and friends, Convert division into fractions calculator, Equivalent fractions multiplying and dividing, Modeling linear relationships using multiple representations mathia answers. c`J2_u*Vh)`gRjjx&TR%HHAvS Bl=t^>Py3 |0|BkaWD([00~n You decide that if you raise your price by $4, you will lose 12 clients. The first zero is 50010=50, and the second is -20. 3 " ` ? Direct link to ballacksecka55's post sal am totally confuse ev, Posted 5 years ago. parabola will actually have a maximum point. negative of this coefficient, negative b over two times a. d) When the height of the projectile is 100 feet above the water, how far is it from the cliff? Looking for a way to get detailed step-by-step solutions to your math problems? Dividing by 2 gives x = 18 2 = 9. c) A number subtracted from 9 is equal to 2 times the number. 68 0 obj <> endobj A market survey has indicated that for each $5 you decrease the rent you will get by 20 new leases. MAXIMIZING REVENUE WORD PROBLEMS INVOLVING QUADRATIC EQUATIONS Problem 1 : A company has determined that if the price of an item is $40, then 150 will be. February 26, 2020. @6O0u+]bD>D1PQEY ovI D d SOLUTION: Maximum profit using the quadratic equations, functions, inequalities and their graphs. the denominator by five, you multiply the numerator h_ CJ UVaJ j/ h_ h_ EHUj4 gO Your factory produces lemon-scented widgets. Extra Prractice quadratic word problems section 1.1 thru 1.4.notebook 1 September 18, 2014 So you run a surf board shop. KA?H1  : aM,,He` @201d++&1X +|-?TT W-L$$bbI9W8|a# 5y;m'^Fn6 p{|@ " Maximizing Revenue Word Problems Involving Quadratic. these features help so much and have made math so much easier for me. Assuming that he uses all of his fence material, find the length of each of the sides of the rectangle which will maximize the area. because if we subtract we get the amount that has been increased and once we divide with 0.1 we get how much it has been increased wrt 0.1 so we can directly multiply with 20 to see how many subscribers we have gained or lost)) if we repeat this process for 2 and 3 we see there is a slight profit for the third option.. I am passionate about my career and enjoy helping others achieve their career goals. The revenue is maximal $1800 at the ticket price $6. Therefore, you only need to solve for the price bracket in the equation:Revenue= (Price)(Number of). Quadratic Word Problems.notebook The vertex is located at (10, 250,000). And let's see, can I simplify this? h_ CJ UVaJ jt h_ h_ EHUj gO Thanks you soo much. Because the question says maximize we need to find the . However, with a little practice and perseverance, anyone can learn to love math! Quadratic Word Problems Involving Maxima or Minima LSCO 5/2011 Page 1 of 4 Problem A Instructions Quadratic Word Problems Name_____ Date_____ T t2^0r1^4Q wKCuYtcaI XSdoYfKt^wkaprRen ]LULxCr.l c TAOlVlZ hrMiigQhTt^sV rr]eKsCeJrOv\exdh.-1-1) A fireworks rocket is launched from a hill above a lake. The max revenue will occur when you lower the rent to $300 - 5(10) = $250 and the . x[k-'$!C Math is the study of numbers, shapes, and patterns. C (x) has a minimum value of 120 thousands for x = 2000 and the fixed cost is equal to 200 thousands. She then returns to her starting position along the . There's multiple ways to do it. 12. Direct link to programmer's post you won't have negative s. We know that a ball is being shot from a cannon. . R(x) = (number of units rented)(price per unit). c $  A ? Looking for a little help with your homework? There are several standard types: problems where the formula is given, falling object problems, problems involving geometric shapes. ! (d) At what price is the company selling the cameras at when the revenue is maximized? (a) Let x the number of sandwiches and y be the cost per sandwich. hc CJ UVaJ j/ hc hc EHUj#gO What is the maximum revenue? What is that revenue. So let's see if we can write our number of subscribers 231 068 959 solved problems. xi\XT hrY hJ j h] h3 EHUj'K So what's negative b? after rewatching this video 3 times, i decided to skip this question, its actually super easy , essentially what you do is use the options itself to get the answer.. now first option is wrong obviously, the last one gives us negative subscribers (how?, well subtract 9.3 from it and divide it by 0.1 and then multiply it by 20 (why did we do that? Knowing is the first step to understanding. The equation for the height of the ball as a function of time is quadratic . Step 2: Factor the quadratic equation. 6. Revenue word problems quadratics - The vertex is located at (10, 250,000). stream Quadratic Optimization For problems 1 - 5, write the function. Clarify math problem Math is the study of numbers, shapes, and patterns. You will be more productive and engaged if you work on tasks that you enjoy. So let's think a little Quadratics - Revenue and Distance Objective: Solve revenue and distance applications of quadratic equa-tions. That's gonna be over 2 a, I D d h/ CJ UVaJ j h/ Uj h_ h_ EHUj gO QUADRATIC WORD PROBLEMS Date Pages Text Title Practice Day 3: Tue Feb 22 Day 4: Wed Feb 23 2-3 Quadratic Word Problems Handout Day 1: Thu Feb 24 Day 2: Fri Feb 25 4-5 4.6 Quadratic Word Problems Page 391-393 #11, 14, 15, 18, 20 Day 3: Mon Feb8 Day 4: Tue Mar 1 6-7 4.7 Quadratic Word Problems Page 404-407 #12, 14, 16, 17, 18 Day 1: Wed Mar 2 Most questions answered within 4 hours. (c) We should find the number ofsandwiches to be sold out to maximize the revenue. subtract 20 subscribers for every, for every dime above $9.30. HXr`(p8,eAl=,pJcF @m 03z,Lj5YnAK V r>*@*tL.p)'2 @A5Y ?A|`G TJZtw&"//nJYR1A*WB G,Y_E(wPn de6fB AHja,H"!ZHANhZ~I&:LHqfa;%@EIqgx2 MAXIMIZING REVENUE WORD PROBLEMS INVOLVING QUADRATIC EQUATIONS Problem 1 : Solution : = (-10x + 550) x R(x) = -10x2 + 550x (c) To find the number of That's this price over here. subscription price. x\Ys3qNpNRvJSe'$-Svv) Fifc/w_W?