A livestock feed compounder desires to produce every tonne of feed at the least cost from...
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A livestock feed compounder desires to produce every tonne of feed at the least cost from three feed ingredients soya bean meal, groundnut cake and palm kernel cake. It is also desired that the final ration must contain a minimum of 35% protein and a maximum of 8% fibre. The protein and fibre components of the three ingredients are shown in the Table below while the unit prices of soya bean meal, groundnut cake and palm kernel cake are #120, #150, and #100 per measure respectively. Protein and Fibre Components of Feed Ingredients Protein (%) Ingredients Soya bean meal Groundnut cake Palm kernel cake 45 50 20 Fibre (%) 6 5 10 (a) Formulate a linear programming problem for this problem. 4 marks (b) Find the optimal solution to this problem. 7 marks (c) State four (4) assumptions of linear programming. 4 marks A livestock feed compounder desires to produce every tonne of feed at the least cost from three feed ingredients soya bean meal, groundnut cake and palm kernel cake. It is also desired that the final ration must contain a minimum of 35% protein and a maximum of 8% fibre. The protein and fibre components of the three ingredients are shown in the Table below while the unit prices of soya bean meal, groundnut cake and palm kernel cake are #120, #150, and #100 per measure respectively. Protein and Fibre Components of Feed Ingredients Protein (%) Ingredients Soya bean meal Groundnut cake Palm kernel cake 45 50 20 Fibre (%) 6 5 10 (a) Formulate a linear programming problem for this problem. 4 marks (b) Find the optimal solution to this problem. 7 marks (c) State four (4) assumptions of linear programming. 4 marks
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a The linear programming problem can be formulated as follows Let x1 amount of soya bean meal in ton... View the full answer
Related Book For
Financial Accounting An Integrated Statements Approach
ISBN: 978-0324312119
2nd Edition
Authors: Jonathan E. Duchac, James M. Reeve, Carl S. Warren
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