Question

A store manager predicts that 80 hats will be sold if each hat costs $15. The manager predicts that 3 less hats will be sold for every $1 increase in price. For what prices can the manager predict that at least 50 hats will be sold?

Answer 1

Answer:

$25

Explanation:

Data provided in the question:

Initial cost of each hat = $15

Initial number of hats sold = 80

3 less hats will be sold for every $1 increase in price

Thus,

For at least 50 hats to be sold, the store manager can increase the price such that maximum 30 less hats are sold

Therefore,

maximum increase in price = Maximum number of less hats ÷ Number of hats sold less for $1 increase

=  30 ÷ 3

= $10

The prices that the manager can predict that at least 50 hats will be sold will be

= $15 + $10

= $25