A finished product weighs exactly 150grams. The two raw materials used in manufacturing the product are A, with cost of birr 2 per unit and B with a cost of birr 8 per unit. At least 14 units of B and not more than 20 units of A must be used. Each units of A and B weighs 5 and 10 grams respectively. A. Formulate the above problem as a linear programing model B. Obtain optimal solution to the problem by using the simplex method, how much of each type of row material should be used for each unit of the final product in order to minimize the cost?
A finished product weighs exactly 150grams. The two raw materials used in manufacturing the product are A, with cost of birr 2 per unit and B with a cost of birr 8 per unit. At least 14 units of B and not more than 20 units of A must be used. Each units of A and B weighs 5 and 10 grams respectively. A. Formulate the above problem as a linear programing model B. Obtain optimal solution to the problem by using the simplex method, how much of each type of row material should be used for each unit of the final product in order to minimize the cost?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A finished product weighs exactly 150grams. The two raw materials used in manufacturing the
product are A, with cost of birr 2 per unit and B with a cost of birr 8 per unit. At least 14 units of
B and not more than 20 units of A must be used. Each units of A and B weighs 5 and 10 grams
respectively.
A. Formulate the above problem as a linear programing model
B. Obtain optimal solution to the problem by using the simplex method, how much of
each type of row material should be used for each unit of the final product in order
to minimize the cost?
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