For a certain company, the cost function for producing r items is C (r) – 50 z + 100 and the revenue function for selling r items is R(z) – -0.5(z - 100) + 5,000. The maximum capacity of the company is 130 items. The profit function P(r) is the revenue function R(r) (how much it takes in) minus the cost function C (r) (how nmuch it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!
For a certain company, the cost function for producing r items is C (r) – 50 z + 100 and the revenue function for selling r items is R(z) – -0.5(z - 100) + 5,000. The maximum capacity of the company is 130 items. The profit function P(r) is the revenue function R(r) (how much it takes in) minus the cost function C (r) (how nmuch it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 88E
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The company can choose to produce either 50 or 60 items. What is their profit for 50 items?
Transcribed Image Text:For a certain company, the cost function for producing r items is C (r) – 50 z + 100 and the
revenue function for selling r items is R(r) -0.5(r-
of the company is 130 items.
100)2 + 5,000. The maximum capacity
The profit function P(x) is the revenue function R (x) (how much it takes in) minus the cost function
C (r) (how much it spends), In economic models, one typically assumes that a company wants to
maximize its profit, or at least make a profit!
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