Question

The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells external hard drives. The solid line represents the revenue​ function, R(x) = 60x​; the dashed line represents the cost​ function, C(x)= 15000+25x.

a. Use the formulas to write the​ company's profit​ function, P, from producing and selling x hard drives.
b. Find the​ company's profit if 25,000 hard drives are produced and sold.

Answer 1

860,000

Explanation:

revenue​ function, R(x) = 60x, so $60/hard drive

cost = C(x)= 15000+25x.

Profit = R-C = 60x-15000-25x = 35x-15000

if selling 25000, profit = 35*25000-15000=860,000