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## The objective of the Hot Oven is to find a balanced diet with minimum cost. a) Formulate a linear programming model for this problem. b) Use solver to find optimal solution and sensitivity report. c) Management have asked you to determine the optimal solution. Write your answer in a form of a report to be submitted to the management. d) Advice the management about objective function value corresponding to your answer in (b)

Hot Oven daily requirements of 70 g of protein, 1 g calcium, 12 mg iron, and 3000 calories are needed for a balanced diet. The following foods are available for consumption with the cost and nutrients per 100 g as shown.

 protien (g) calories calcium(g) iron(mg) cost (ghc) brown bread 12.0 246 0.1 3.2 0.5 cheese 24.9 432 0.2 0.3 20 butter 0.1 793 0.03 0.0 1.0 baked beans 6.0 93 0.05 2.3 0.25 spinach 3.0 26 0.1 2.0 0.25

The objective of the Hot Oven is to find a balanced diet with minimum cost.
a) Formulate a linear programming model for this problem.

b) Use solver to find optimal solution and sensitivity report.

c) Management have asked you to determine the optimal solution. Write your answer in a form of a report to be submitted to the management.

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