The Cajun Quarter Stables in New Orleans houses all the horses used to pull carr

Question

The Cajun Quarter Stables in New Orleans houses all the horses used to pull carriages around the French Quarter. The owner of the stable is in charge of feeding the horses, and wants the feed to be as nutritional as possible. He also wants to minimize the cost of the feed. The feed he uses consists of Oats, Mixed Grains, and a Mineral Supplement. Each of these mixes has a fixed amount of the five ingredients that are needed each day to keep a horse healthy. The table below shows the minimum requirements, the units of each ingredient per pound, and the cost for the three mixes. Also, the stable owner knows that if a horse is overfed will be sluggish. Accordingly, he figured that six pounds of feed per day are the most a horse should have to work properly. Your task is to 1) formulate the problem, and 2) solve for the optimal daily mix of the three feeds. Feed Mix Diet Ingredients Oats Grain Minerals Minimum Daily Requirement A 2 3 1 6 B 0.5 1 0.5 2 C 3 5 6 9 D 1 1.5 2 8 E 0.5 0.5 1.5 5 Cost/lb $0.09 $0.14 $0.18

Explanation / Answer

use linear programming

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