Class_Notes_2.6

# Class_Notes_2.6 - 2 9 y x = another at the origin a third...

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Section 2.6 Class Notes Mathematical Models: Constructing Functions Guiding Problem 1 The price p , in dollars, and the quantity x sold of a certain product obey the demand equation 1 150, 0 500 4 p x x = - + . (a) Find the revenue function. (b) What is the revenue when 200 units are sold? (c) What quantity maximizes the revenue? What is the maximum revenue? (d) What should the price be to maximize revenue? Guiding Problem 2 A farmer wishes to enclose a rectangular area with one side to be along the river. If 1000 feet of fencing is available, what should the dimensions be to maximize the area?

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Guiding Problem 3 A rectangle has one corner on the graph of
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Unformatted text preview: 2 9 y x = -, another at the origin, a third on the positive y-axis, and the fourth on the positive x-axis. (a) Express the area A as a function of x . (b) For what value of x is A the largest? (c) What is the domain of A ? Guiding Problem 4 Let ( 29 , P x y = be a point on the graph of 2 25 y x =-. (a) Express the distance d from P to the point ( 29 1,0 as a function of x . (b) What is d if x =2? Answers: 1. (a) ( 29 2 1 4 150 R x x x = -+ (b) \$20,000 (c) 300; \$22,500 (d) \$75 2. 250 x 500 x 250 3. (a) ( 29 3 9 A x x x =-(b) 3 x = (c) (0, 3) 4. (a) 4 2 49 2 626 d x x x =--+ (b) 21...
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## This note was uploaded on 09/08/2010 for the course MATH 201A at San Jose State.

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Class_Notes_2.6 - 2 9 y x = another at the origin a third...

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