Arley's Bakery makes fat-free cookies that cost $1.50 each. Arley expects 30% of the cookies to fall apart and break. Assume that Arley can sell the broken cookies for $1.40 each. Arley wants a 50% markup on cost and produces 200 cookies. What price should Arley charge for each unbroken cookie?

First we see the cost of making 200 cookies:

(200) * (1.50) = 300 $

Then, we see the amount of cookies that are not broken:

(200) * (0.30) = 60

200-60 = 140

Arley wants to 50% markup on cost and produces 200 cookies:

(300) * (1.50) = 450 $

Arley can sell the broken cookies for $ 1.40 each:

(1.40) * (60) = $ 84

For each unbroken cookie the price will be then:

(450-84) / (140) = 2.61 $

Answer:

Arley should charge $ 2.61 for each unbroken cookie