Question

The sophomore class is planning to sell school mascot puppets to help cover the cost of a class trip. A local supplier will charge $76.25 for the design and $2.25 for each puppet ordered. The class plans to sell the puppets for $5. How many puppets must be sold to earn at least $2,000?

Answer 1

755 or more

Explanation:

The profit is the difference between revenue and costs. We want the profit to be $2000 or more, and we have both fixed and variable costs.

Let x represent the number of puppets sold. Then the costs are ...

... 76.25 + 2.25x

The revenue is 5x.

The above-described relationship can then be written as

... 5x -(76.25 +2.25x) ≥ 2000

... 2.75x ≥ 2076.25 . . . . . add 76.25, collect terms

... x ≥ 2076.25/2.75 . . . . divide by the coefficient of x

... x ≥ 755

755 or more puppets must be sold to earn $2000 or more.