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Unformatted text preview: LP-Assignment
In order to ensure optimal health (and thus accurate test results), a lab technician needs to feed he
rabbits a daily diet containing a minimum of 24 grams (g) of fat, 36 g of carbohydrates, and 4 g
of protein. But the rabbits should be fed no more than five ounces of food a day.
Rather than order rabbit food that is custom-blended, it is cheaper to order Food X and Food Y,
and blend them for an optimal mix. Food X contains 8 g of fat, 12 g of carbohydrates, and 2 g of
protein per ounce, and costs $0.20 per ounce. Food Y contains 12 g of fat, 12 g of carbohydrates,
and 1 g of protein per ounce, at a cost of $0.30 per ounce.
What is the optimal blend?
(a) Formulate the problem
(b) Solve the problem graphically
(c) Solve on Excel Spread Sheet Problem 2:
A fabric firm has received an order for cloth specified to contain at least 45 pounds of cotton and
25 pounds of silk. The cloth can be woven out of any suitable mix of two yarns A and B. They
contain the proportions of cotton and silk (by weight) as shown in the following table: A
10% Material A costs $3 per pound, and B costs $2 per pound. What quantities (pounds) of A and B
yarns should be used to minimize the cost of this order?
(a) Formulate the problem (b) Solve the problem graphically
(c) Solve on Excel Spread Sheet ...
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This note was uploaded on 05/21/2011 for the course MARKETING 104 taught by Professor Fazli during the Spring '11 term at College of E&ME, NUST.
- Spring '11