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 $5000 per performance, and your jazz ensemble is charging $900 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.

Question

Mathematics

Nico Bush

30 May, 15:03

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 $5000 per performance, and your jazz ensemble is charging $900 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.

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Leila Ball · Answer 1

C = 70000 + 5000x + 900y

Step-by-step explanation:

You are paying

- $70,000 to keep the place running,

- $5000 to cabaret artist per performance, since x represents the number of performances by the cabaret artist per month, it is 5000x in a month

- $900 to jazz ensemble per hour, since y represents the number of hours of jazz per month, it is 900y in a month.

If you sum all the costs and set it to the C, you will get:

C = 70000 + 5000x + 900y