Question

A food court at a mall had 750 teenagers test Tasty, a new fruit snack. Of these teenagers, 267 said they would buy Tasty if it was sold at the mall. Gooey Candy Company, the manufacturer of Tasty, estimates that 32,000,000 teenagers regularly go to malls. They also estimate that teenagers would buy Tasty once a week. What is the weekly sales potential?

Answer 1

The weekly sales potential for the new fruit snack Tasty, based on a pilot test and the estimated number of teenagers going to malls, is approximately 11,392,000 units per week.

Step-by-step explanation:

To calculate the weekly sales potential for the new fruit snack Tasty among teenagers who go to malls, we'll use the information provided from the pilot test conducted at a food court. The test involved 750 teenagers, of which 267 expressed that they would purchase Tasty. By using this ratio, we can estimate the potential acceptance rate among the larger population of teenagers that visit malls.

First, let's determine the acceptance rate from the pilot test: acceptance rate = number of teenagers who would buy Tasty / total number of teenagers in the test = 267 / 750 = 0.356.

Now, applying this acceptance rate to the estimated number of mall-going teenagers (32,000,000), we find the potential number of buyers: potential buyers = acceptance rate x total estimated teenagers = 0.356 x 32,000,000 ≈ 11,392,000.

Assuming these teenagers would buy Tasty once a week, the weekly sales potential is equivalent to the number of potential buyers: 11,392,000 units per week.