Question

Ahmed runs a bakery that sells two kinds of pies. Ahmed knows the bakery must make at least 6 and at most 48 batches of the Chocolate Decadence. The bakery must also make between 3 and 42 batches of the Mint Breezes. The batches of Chocolate Decadence take 7 minutes in the oven, while batches of Mint Breezes require 8 minutes in the oven. The bakery only has 392 minutes in the oven available. If batches of Chocolate Decadence generate $2.56 in income, and batches of Mint Breezes generate $1.29, how many batches of the pies should Ahmed have the bakery make to get the most income

Answer 1

Ahmed must bake 48 Chocolate Decadence pies and 7 Mint Breezes pies in order to get the maximum possible profit = $131.91

Explanation:

let x = chocolate decadence

let y = mint breezes

maximize revenue equation = 2.56x + 1.29y

the constraints are:

7x + 8y ≤ 392

x ≥ 6

x ≤ 48

y ≥ 3

y ≤ 42

using solver, profits are maximized when 48x + 7y = $131.91