A company manufactures two products. The price function for product A is p=17-(1)/(2)x (for 0

Question

A company manufactures two products. The price function for product

A

is

p=17-(1)/(2)x

(for

0<=x<=34

), and for product

B

is

q=35-y

(for

0<=y<=35

), both in thousands of dollars, where

x

and

y

are the amounts of products

A

and B, respectively. If the cost function is

C(x,y)=11x+17y-xy+16

thousands of dollars, find the quantities and the prices of the two products that maximize profit. product A quantity

◻

units product A price

◻

thousand dollars product B quantity product B price units thousand dollars Find the maximum profit.

◻

thousand dollars

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