Quiz1BKey

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Colorado State University, Global Campus *

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315

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Economics

Date

May 2, 2024

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pdf

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1

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Quiz 1B (Key) Name: Score: /10 points Feedco produces two types of cattle feed, both consisting totally of wheat and alfalfa. Feed 1 must contain at least 85% wheat, and Feed 2 must contain at least 65% alfalfa. Feed 1 sells for $1.50 per pound, Feed 2 sells for $1.30 per pound. Feedco can purchase up to 1000 pounds of wheat at $0.55 per pound and up to 800 pounds of alfalfa at $0.45 per pound. Demand for each type of feed is unlimited. Determine how to maximize Feedco’s profit Please answer the following questions: 1. (2 pts)What are the decision variables? W1 = #lbs of wheat used in Feed 1 W2 = #lbs of wheat used in Feed 2 A1= # lbs of alfalfa used in Feed 1 A2 =# lbs of alfalfa used in Feed 2 2. (4 pts)Formulate the objective function. Max 1.50 (W1+A1) +1.30(W2+A2) – 0.55 (W1+W2) – 0.45 (A1+A2) 3. (4pts)Formulate the constraints. W1 >= 0.85 (W1+A1) A2 >= 0.65 (W2+A2) W1+W2<= 1000 A1+A2 <= 800 W1, W2, A1, A2 >= 0
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