A tailor makes wool tweed sport coats and wool slacks. He is able to get a shipment of 150 square yards of wool cloth from Scotland each month to make coats and slacks, and he has 200 hours of his own labor to make them each month. A coat requires 3 square yards of wool and 10 hours to make, and a pair of slacks requires 5 square yards of wool and 4 hours to make. The tailor earns ₱50 in profit from each coat he makes and ₱40 from each pair of slacks. He wants to know how many coats and pairs of slacks to produce to maximize profit. Requirements: a) Define decision variables and tabulated data b) Formulate the Integer Linear Programming Model.
A tailor makes wool tweed sport coats and wool slacks. He is able to get a shipment of 150 square yards of wool cloth from Scotland each month to make coats and slacks, and he has 200 hours of his own labor to make them each month. A coat requires 3 square yards of wool and 10 hours to make, and a pair of slacks requires 5 square yards of wool and 4 hours to make. The tailor earns ₱50 in profit from each coat he makes and ₱40 from each pair of slacks. He wants to know how many coats and pairs of slacks to produce to maximize profit. Requirements: a) Define decision variables and tabulated data b) Formulate the Integer Linear Programming Model.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CT: Chapter Test
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A tailor makes wool tweed sport coats and wool slacks. He is able to get a shipment of 150 square yards of wool cloth from Scotland each month to make coats and slacks, and he has 200 hours of his own labor to make them each month. A coat requires 3 square yards of wool and 10 hours to make, and a pair of slacks requires 5 square yards of wool and 4 hours to make. The tailor earns ₱50 in profit from each coat he makes and ₱40 from each pair of slacks. He wants to know how many coats and pairs of slacks to produce to maximize profit.
Requirements:
a) Define decision variables and tabulated data
b) Formulate the Integer Linear Programming Model.
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