Solve each of the linear programming problems below. a. A nut company makes thre

Question

Solve each of the linear programming problems below. a. A nut company makes three different mixtures of nuts having the following compositions and profits per pound: Peanuts Cashews Pecans Profit Mixture 1 Mixture 2 Mixture 3 100% 80% 60% $2 $1.50 0 0 0 1 5% 30% 0 0 The management of the company decides that it wants to produce at least twice as much ofmixture 3 as of mixture 2 and at least twice as much of mixture 2 as of mixture 1. The company has 500 pounds of peanuts, 250 pounds of cashews, and 100 pounds of pecans available. If all production can be sold, how many pounds of each mixture should be produced so as to maximize profits?

Explanation / Answer

let production of mixture a is X pount. So of mixture 2 is 2X and of mixture 3 is 4X.

profit = 2X+3X+4X = 9X

pounds of peanuts = X + 1.6X + 2.4X = 5X = 500

so X = 100

mixture 1 = 100 pounds

mixture 2 = 200 pounds

mixture 3 = 400 pounds

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.