Given the following profit function for a company, $p(s)=-20s^2 +1400s -12000$ , if the selling price is $35 how much will the company profit? What's the difference in profit if the selling price is $20 verses $53?

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Answer 1 · 2018-06-22T12:32:59

At selling price of $$35$ , profit is $$12500$
At selling price of $$20 and $53$ profits are
$p(20)= $8000$ and $p(53)= $6020$

Let $s$ denotes selling price , then profit function of the company

is $p(s) -20 s^2 +1400 s -12000$ . When selling price is $s=$35$

then profit is $p(35)= -20*35^2 +1400*35 -12000$ or

$p(35)= -20*35^2 +1400*35 -12000= $12500$

When selling price is $s=$20$ , profit is

$p(20)= -20*20^2 +1400*20 -12000= $8000$

When selling price is $s=$53$ , profit is

$p(53)= -20*53^2 +1400*53 -12000= $6020$ [Ans]

Given the following profit function for a company, p(s)=-20s^2 +1400s -12000p(s)=-20s^2 +1400s -12000, if the selling price is $35 how much will the company profit? What's the difference in profit if the selling price is $20 verses $53?