"When a shoe costs $80.00, there are 300 sales. Every $5.00 increase in price will result in 10 fewer sales. Find the price that will maximize income."

ahiahysel
2022-03-04
Answered

"When a shoe costs $80.00, there are 300 sales. Every $5.00 increase in price will result in 10 fewer sales. Find the price that will maximize income."

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zahrkao8vm

Answered 2022-03-05
Author has **10** answers

x is not the price increase, $5 is the price increase.

x is just the number of price increases (like, say, number of five-dollar bills customer would have to pay extra) and also the corresponding number of sales decreases (each decrease is 10 sales).

One price increase brings one sales decrease, so:$y=(80+5\cdot 1)(300-10\cdot 1).$

Two price increases bring two sales decreases:

$y=(80+5\cdot 2)(300-10\cdot 2).$

x is just the number of price increases (like, say, number of five-dollar bills customer would have to pay extra) and also the corresponding number of sales decreases (each decrease is 10 sales).

One price increase brings one sales decrease, so:

Two price increases bring two sales decreases:

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