Your Cabaret nightspot \"Jazz on Jupiter\" has become an expensive proposition:

Question

Your Cabaret nightspot "Jazz on Jupiter" has become an expensive proposition: You are paying monthly costs of $30,000 just to keep the place running. On top of that, your regular cabaret artist is charging you $4700 per performance, and your jazz ensemble is charging $1400 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.)

Explanation / Answer

Monthly Cost function is =

monthly costs of $30,000 just to keep the place running. ( 30,000 C)

cabaret artist is charging you $4700 per performance,(4700x) and your jazz ensemble is charging $1400 per hour(1400y)

therefore total is = 30,000 C + 4700x+1400y

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