A company models its daily profit (in hundreds of dollars) from selling a product at…

MATHEMATICS · Single correct · AoPS · Mathematics · More Inequalities · More Inequalities

Problem

A company models its daily profit (in hundreds of dollars) from selling a product at a price of

p

dollars per unit by

P(p)=100p-5p^{2}

for

0\le p\le20

. What price

p

maximizes the daily profit? (a)

20

(b)

10

(c)

5

(d)

12