Question

A company produces remote-controlled helicopters. The company’s profit, in thousands of dollars, as a function of the number of helicopters produced per week can be modeled by a quadratic function. When 1 helicopter is produced per week, the company’s profit is 4 thousand dollars. The maximum profit, 22 thousand dollars, occurs when 4 helicopters are produced per week.

The function that models the scenario, where h is the number of helicopters produced per week, is
f(h) = –2(h – 4)2 + 22.
When 6 helicopters are produced weekly, the company’s profit is _____________
thousand dollars.

Answer 1

14

Explanation:

Answer 2

We simply substitute 6 into the equation:
f(6) = -2(6 - 4)² + 22
f(6) = 14

The company's profit is 14 thousand dollars.