Question

A bicycle company is manufacturing a new bicycle and trying to decide on a price that will maximize their profit. The graph below represents profit(P), in thousands of dollars, generated by the price of each bike (x), in hundreds of dollars.For what prices will the company make a profit?

Answer 1

we have that

the company will make a profit when P(x) is greater than zero

P(x)>0

therefore

In the interval {2,10) ------> company will make a profit

10=10*100=$1,000

2=2*100=$200

prices less than $1,000 and greater than $200