Question

A candy company has 115 pounds of cashews and 140 pounds of peanuts which they combine into two different mixes. The deluxe mix has half cashews and half peanuts and sells for $7 per pound. The economy mix has one third cashews and two thirds peanuts and sells for $4.70 per pound. How many pounds of each mix should be prepared for maximum revenue?

Answer 1

you should prepare 180 pounds of the deluxe mix and 75 pounds of the economy mix

Step-by-step explanation:

maximize 7d + 4.7e

constraints

0.5d + ¹/₃e ≤ 115

0.5d + ²/₃e ≤ 140

d ≥ 0

e ≥ 0

d and e are integers

using solver, the maximum profit is 180d + 75e, and the maximum profit is $1,612.50