Question: a) Explain the basic requirements of a Linear Programming ( 5 Marks) b) A Turkey Ranch is considering buying two different types of Turkey feed.

a) Explain the basic requirements of a Linear Programming ( 5 Marks) b) A Turkey Ranch is considering buying two different types of Turkey feed. Each feed contains, in varying proportions, some or all of the three nutritional ingredients essential for fattening Turkeys. Brand Y feed costs the ranch $ 0.2 per pound. Brand Z costs $ 0.03 per pound. The Rancher would like to determine the lowest - cost diet that meets the minimum monthly intake requirements for each nutritional ingredient. Summary of the Ranch's problem Composition of each pound of feed. Ingredient Brand Y feed Brand Z feed Min. Monthly Req't 10 oz 30 oz C Cost/lb 50 2 40 OZ 0.5 oz $ 0.02 90 02 48 oz 1.5 oz 0 $ 0.03 Required i) Formulate the problem as a linear programming mode (3 Marks). ii) Solve the problem using the corner point solution method. (7 Marks)

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