Question

Your Cabaret nightspot "Jazz on Jupiter" has become an expensive proposition: You are paying monthly costs of $70,000 just to keep the place running. On top of that, your regular cabaret artist is charging you $2900 per performance, and your jazz ensemble is charging $800 per hour. Set up a (monthly) cost function for the scenario. (Let C represent the monthly cost in dollars, x represent the number of performances by the cabaret artist per month and y represent the number of hours of jazz per month.) C(x, y)

Answer 1

The monthly cost function for the scenario C(x,y) is;

C(x,y) = 70,000 + 2900x + 800y

Explanation:

Let C represent the monthly cost in dollars.

x represent the number of performances by the cabaret artist per month

and y represent the number of hours of jazz per month

Given;

monthly costs of $70,000

regular cabaret artist is charging you $2900 per performance.

Per month = $2900x

your jazz ensemble is charging $800 per hour.

Per month = $800y

The monthly cost function for the scenario C(x,y) is the sum of all the costs;

C(x,y) = 70,000 + 2900x + 800y