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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