Question

A small appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula P = 1 (200 – x). Provided a profit of $750, what is the production level x?

Answer 1

To find the production level x that results in a profit of $750 for the small appliance manufacturer, we can use the provided profit formula. However, there is no feasible production level that will result in a profit of $750.

Step-by-step explanation:

To find the production level x that results in a profit of $750, we can substitute P = 750 into the profit formula P = 1 (200 - x) and solve for x.

750 = 1 (200 - x)

Divide both sides of the equation by 1: 750 = 200 - x

Subtract 200 from both sides of the equation: 550 = -x

Divide both sides of the equation by -1 to solve for x: x = -550

The production level x is -550, but since we cannot produce a negative number of microwave ovens, there is no feasible production level that will result in a profit of $750 for this small appliance manufacturer.