Question

Suppose the following are given to you: D ( q ) = − 0.00029 q 2 − 0.0716 q + 557 C ( q ) = 81 q + 18300 Find the profit function.

Answer 1

Profit function= 81q +18300+0.00029q2+0.0716q-557

Step-by-step explanation:A profit function shows the relationship between a company's total profit and output.

The profit function is equal to the company's total rebenue(TR) minus total cost of the company(TC).

Mahemathically,Profit = TR-TC.

Let D(q)= TC=-0.00039q2-0.0716q+557C(q)

Let TR= 81q +18300.

Profit=TR-TC

Profit =81q+18300-(-0.00029q2-0.0716q+557)

Profit=81q+18300+0.00029q2+0.0716q-557.