A diet-conscious housewife wishes to ensure her family' daily intake of vitamins A, B and C...

Transcribed Image Text:

A diet-conscious housewife wishes to ensure her family' daily intake of vitamins A, B and C does not fall below certain levels, say 24 units, 30 units and 18 units, respectively. For this she relies on two fresh foods. Each ounce of the first fresh food provides 8, 6 and 4 units of vitamins A, B, C, respectively. Each ounce of the second fresh food provides 3, 5 and 9 units of vitamins A, B, C, respectively. If the first food cost 3p per ounce and the second only 2p per ounce, find how many ounces of each food should be bought by the housewife daily to keep her food bill as low as possible. Formulate the problem as a linear programming problem. Ignoring the requirements that the numbers of ounces of food to be bought need to be integer. Solve the linear programming problem graphically. Solve the liner programming problem numerically (you are allowed to use any method, you can use MATLAB or Excel if you want). A diet-conscious housewife wishes to ensure her family' daily intake of vitamins A, B and C does not fall below certain levels, say 24 units, 30 units and 18 units, respectively. For this she relies on two fresh foods. Each ounce of the first fresh food provides 8, 6 and 4 units of vitamins A, B, C, respectively. Each ounce of the second fresh food provides 3, 5 and 9 units of vitamins A, B, C, respectively. If the first food cost 3p per ounce and the second only 2p per ounce, find how many ounces of each food should be bought by the housewife daily to keep her food bill as low as possible. Formulate the problem as a linear programming problem. Ignoring the requirements that the numbers of ounces of food to be bought need to be integer. Solve the linear programming problem graphically. Solve the liner programming problem numerically (you are allowed to use any method, you can use MATLAB or Excel if you want).