Question

The amount of profit a company makes from selling video games for x dollars is modeled by the function P(x)=-x^2+100x+350,000. To the nearest dollar, what price gives the maximum profit?

 

MULTIPLE CHOICE:

A. $40

B. $45

C. $50

D. $55

Answer 1

Rewrite: P(x)=350000-(x²-100x+2500-2500)=

350000-((x-50)²-2500). When x=$50 the profit maximises at $352500. Answer C.