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{"ops":[{"insert":"QUESTION THREE"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"A poultry farmer in Lufyanyama has obtained a loan from the Bank to boost his poultry "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"business. He provides you with data to help him optimize the sales. The data is that Old "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"hens can be bought for K2 each but young one cost K5 each. The old hens lay 3 eggs "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"per week and young ones 5 eggs per week, each egg being worth 30ngwee. A hen cost "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"K1 per week to feed. If a person has only K80 to spend on hens, how many of each kind "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"should he buy to get a profit of more than K6 per week assuming that he can\u2019t house "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"more than 20 hens? "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"a)Formulate the problem as a linear programming model [8 Marks] "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"b)Using the graphical method procedure, how many hens should he buy of each kind to "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"maximize the profit per week? [10 Marks] "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"c) Determine the ranges of optimality for the objective function coefficients "},{"insert":"\n"}]}

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