7. Suppose that the profit from the production and sale of x units of a product is given by p(x) = 180x 200. 100 In addition, suppose that for a certain month, the number of units produced on day t of the month is x = q(t) = 1000 + 10t. a) Find (p q)(t) to express the profit as a function of the day of the month.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.6P
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7. Suppose that the profit from the production and sale of x units of a product is
given by
x2
- 200.
100
p(x) = 180x
In addition, suppose that for a certain month, the number of units produced on day
t of the month is
x = q(t) = 1000 + 10t.
a) Find (p o q)(t) to express the profit as a function of the day of the month.
b) Find the number of units produced, and the profit, on the fifteenth day of the
month.
Transcribed Image Text:7. Suppose that the profit from the production and sale of x units of a product is given by x2 - 200. 100 p(x) = 180x In addition, suppose that for a certain month, the number of units produced on day t of the month is x = q(t) = 1000 + 10t. a) Find (p o q)(t) to express the profit as a function of the day of the month. b) Find the number of units produced, and the profit, on the fifteenth day of the month.
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