Question

The profit (in dollars) for a company when x units of product are produced is given by P(x)=(100−x)ln(x) for 1x>1. Find the profit when the current production level is x=21 units.

Answer 1

The profit when the current production level is x=21 units is 79ln(21).

Step-by-step explanation:

The profit for a company when x units of a product are produced is given by the function P(x)=(100−x)ln(x) for 1 < x > 1. To find the profit when the current production level is x=21 units, we substitute x=21 into the function:

P(21)=(100−21)ln(21)= 79ln(21)

Thus, the profit when the current production level is 21 units is 79ln(21).