Question

A company rents out 18 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $6 per day. The fee for a game booth is $65 plus $8 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answer 1

$2655 + $324d

Explanation:

total cost of a booth = fixed cost + (variable cost x number of days)

Fixed costs are costs that do not vary with output

Variable costs are costs that vary with production

cost of 18 food booths = 18(50 + 6d) = 900 + 108d

cost of 27 game booths = 27(65 + 8d) = 1755 + 216d

Add the total cost of the food and game booths together 900 + 1755 = 2655

108d + 216d = 324d