Question

· A computer game lets you build your own theme park. Suppose it costs you $28,000 a

day to run the park. Assume the average daily attendance is 1400 people. What is the
least amount you should charge for admission, to the nearest dollar, if you want to make a
profit of more than $35,000 for a 30-day month? Write an inequality to represent this
situation, and solve.

Answer 1

• inequality: 30(1400c -28000) > 35000
• solution: c ≥ 21; the charge should be at least $21

Explanation:

Your daily profit is the difference between the daily revenue and the daily cost. The revenue is the product of admission charge (c) and daily attendance (1400). The profit for 30 days wants to be ...

30(1400c -28000) > 35000 . . . . an inequality for the situation

42000c -840000 > 35000

6c > 125 . . . . . . divide by 7000 and add 120

c > 125/6 ≈ 20.83

To the nearest dollar, the admission charge should be at least $21.