The weekly demand function for x units of a product sold by only one firm is p = 500 − 1/2x dollars, and the average cost of production and sale is C = 400 + 2x dollars. (a) Find the quantity that will maximize profit. units(b) Find the selling price at this optimal quantity.$ per unit(c) What is the maximum profit?$
The weekly demand function for x units of a product sold by only one firm is p = 500 − 1/2x dollars, and the average cost of production and sale is C = 400 + 2x dollars. (a) Find the quantity that will maximize profit. units(b) Find the selling price at this optimal quantity.$ per unit(c) What is the maximum profit?$
Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 44E
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The weekly demand function for x units of a product sold by only one firm is
p = 500 − 1/2x dollars,
and the average cost of production and sale is
C = 400 + 2x dollars.
(a) Find the quantity that will maximize profit.
units
(b) Find the selling price at this optimal quantity.
$ per unit
(c) What is the maximum profit?
$
units
(b) Find the selling price at this optimal quantity.
$ per unit
(c) What is the maximum profit?
$
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