Question

Problem 4: Feedco produces two types of cattle feed, both consisting totally of wheat and alfalfa. Feed 1 must contain at least 80% wheat, and feed 2 must contain at least 60% alfalfa. Feed 1 sells for $1.50/1b, and feed 2 sells for $1.25/1b. Feedco can purchase up to 1,000 lb of wheat at $0.35/lb and up to 800 lb of alfalfa at $0.30/1b. Demand for each type of feed is unlimited. Formulate an LP to maximize Feedco's profit. (Begin your handwritten solution on a new page labeled "Problem 4" at the top.)

Answer 1

Answer :

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Problem 4+ Feed 1 80% wheat + 20.1. Alfalfa Feed 2 - 404 wheat & Goy. Alfalfa Total cost of wheat 1000 x 0.35 350 = Total cost of Alfalfa 800 x 0.30 240 1.25 fa = 1,508, +1.25 Fq Total Revenue for feed 1 = 1,50 F, TR for feed 2 Total Revenue Total cost 350 + 240 = 590 Profit (t) Total Revenue - Total cost π = 1.50f + 1.25 Fa 590 F, = 0,80w + 0,20 A F2 = 0.40 W + 0.60A T = 1.50(0.80 W + 0.20A) + 1.250.40w + 0.60A) 590 π = 1.200+ 0.30 A + 0,50w +0.75A - 590 π = 1.70w + 1.05A - 590 where wheat (W) = 1,000 and Alfalfa (A) = 800