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2.5 - Student Lucas Rodrigues Instructor Gar Guyton...

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Unformatted text preview: Student: Lucas Rodrigues Instructor: Gar Guyton Assignment: Section 2.5 Date: “2'24th Course: Guyton MA 160 Fall 2010 CRN Time: 12:18 PM 20746 8:40 AM Book: Bittinger: Calculus and Its Applications, 9e 1_ A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 900 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions? What is the maximum area of the rectangular plot? sz What is the length of the shorter side of the rectangular plot? |:|m What is the length of the longer side of the rectangular plot? Dm 2, Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 25 inches by 14 inches by cutting congruent squares from the corners and folding up the sides. 'Ihen find the volume. The dimensions of box are D inches. (Round to the nearest hundredth as needed. Use a comma to separate answers as needed.) The maximum volume is D in3. (Round to the nearest hundredth as needed.) 3_ Raggs, Ltd. a clothing firm, determines that in order to sell it suits, the price per suit must be p = 160 — 0.53;. It also determines that the total cost of producing x suits is given by C(x) = 4500 + 0.?5x2. 3) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many suits must the company produce and sell in order to maximize profit? (1) What is the maximum profit? e) What price per suit must be charged in order to maximize profit? a) R(x) = D (Simplify your answer.) b) P(x) = D (Simplify your answer.) c) D suits d) The maximum profit is $l:|. e) The price per unit must be $[:|. Page 1 Student: Lucas Rodrigues Instructor: Gar Guy‘ton Assignment: Section 2.5 Date: llf24l'10 Course: Guyton MA 160 Fall 2010 CRN Time: 12:18 PM 20746 8:40 AM Book: Bittinger: Calculus and Its Applications, 9e 4_ A university is trying to determine what price to charge for tickets to football games. At a price of $30 per ticket, attendance averages 40,000 people per game. Every decrease of $3 adds 10,000 people to the average number. Every person at the game spends an average of $4.50 on concessions. What price per ticket should be charged in order to maximize revenue? How many people will attend at that price? What is the price per ticket? $D What is the average attendance? |:| people 5. An apple farm yields an average of 42 bushels of apples per tree when 22 trees are planted on an acre of ground. Each time 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest yield? The highest yield of bushels of apples produced can be achieved if there are D trees per acre. 6_ A sporting goods store sells 135 pool tables per year. It costs $10 to store one pool table for a year. To reorder, there is a fixed cost of $27 per shipment plus $13 for each pool table. How many times per year should the store order pool tableS, and in what lot size, in order to minimize inventory costs? The store should order 1:] pool tables l:| times per year to minimize inventory costs. Page 2 ...
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