Question

A store manager predicts that 150 blankets will be sold if each blanket

costs $32. The manager predicts that 2 less blankets will be sold for every
$1 increase in price. For what prices can the manager predict that at least
120 blankets will be sold?

Answer 1

$47

Explanation:

Given: Store manager have predicted that 150 blanket can be sold at $32 each.

Also he has predicted sales of 2 blanket will decrease with $1 increase in price.

Now, finding price at which 120 blanket can be sold.

As we know cost of 150 blanket is $32 and we are finding for 120 blanket, which mean we have to increase price to decrease sales.

∴
`150-120 = 30\ blankets`

Using unitary method to find correct price.

For 2 decrease in sales = $1 increase in price

∴ 30 decrease in sales of blanket = $15 increase in price

Next, price of 120 blanket =
`Price of 150\ blanket + increase\ in\ price`

Price\ of\ 120\ blanket =
`32+15 = \$ 47`

∴ $47 should be the price for at least 120 blanket to be sold.