Answer to Question #349466 in Operations Research for Musenga

Question

QUESTION THREE

A poultry farmer in Lufyanyama has obtained a loan from the Bank to boost his poultry

business. He provides you with data to help him optimize the sales. The data is that Old

hens can be bought for K2 each but young one cost K5 each. The old hens lay 3 eggs

per week and young ones 5 eggs per week, each egg being worth 30ngwee. A hen cost

K1 per week to feed. If a person has only K80 to spend on hens, how many of each kind

should he buy to get a profit of more than K6 per week assuming that he can’t house

more than 20 hens?

a)Formulate the problem as a linear programming model [8 Marks]

b)Using the graphical method procedure, how many hens should he buy of each kind to

maximize the profit per week? [10 Marks]

c) Determine the ranges of optimality for the objective function coefficients

Answer 1

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