Class_Notes_2.6

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

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
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?
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Guiding Problem 3 A rectangle has one corner on the graph of
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

Page1 / 3

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online