Arley’s Bakery makes fat-free cookies that cost $1.50 each. Arley expects 15% of the cookies to fall apart and be discarded. Arley wants a 45% markup on cost and produces 200 cookies. What should Arley price each cookie?

Respuesta :

Arley should price each cookie $ 2.56

Solution:

Arley’s Bakery makes fat-free cookies that cost $1.50 each

Arley expects 15% of the cookies to fall apart and be discarded

Total cookies = 200

Discarded = 15 % of 200

[tex]Discarded = \frac{15}{100} \times 200 = 30[/tex]

Now, remaining = 200 - 30 = 170

Good cookies = 170

Arley wants a 45% markup on cost

Total cost = 200 cookies x 1.50 = 300

45 % markup

Therefore,

cost = 300 + 45 % of 300

[tex]cost = 300 + \frac{45}{100} \times 300[/tex]

cost = 300 + 135 = 435

What should Arley price each cookie?

[tex]Price\ per\ cookie = \frac{435}{170} = 2.56[/tex]

Thus Arley should price each cookie $ 2.56