Find the diet that has minimal cost

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Reference no: EM133234173

Linear Programming/MATLAB Programming Assignment Question - Dietary optimisation

There are six different foods: Bread, Milk, Cheese, Fish, Potato and Yogurt:

	Bread	Milk	Cheese	Potato	Fish	Yogurt
Cost, $	2.0	3.5	8.0	1.5	11.0	1.0
Protein, g	4.0	8.0	7.0	1.3	8.0	9.2
Fat, g	1.0	5.0	9.0	0.1	7.0	1.0
Carbohydrates, g	15.0	11.7	0.4	22.6	0.0	17.0
Calories, Cal	90	120	106	97	130	180

(1) We have to find a diet that contains not less than 150 calories, not more than 12g of protein, not less than 15g of carbohydrates and not less than 8g of fat. In addition the diet should include at least 0.5kg of fish and not more than 1 cup of milk. Find the diet that has minimal cost.

(2) Select 5-7 different foods you usually have, search the related information and form a similar table as above. Formulate two LP problems (one is to minimise the cost, the other uses cost as a constraint). After solving each of the two problems, do a sensitivity analysis on the cost of one or two foods.

Use both MATLAB Optimisation Toolbox and Excel Solver to solve the problems and perform sensitivity analysis.

Reference no: EM133234173

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