Reference no: EM133083435
XYZ Ltd makes three varieties of shirts: A-Type, B-Type, and C-Type. These shirts are made from different combinations of linen and polyester.
?The cost per meter of unblended linen is $5 and for unblended polyester is $4. XYZ can receive up to 4,000 meters of raw linen and 3,000 meters of raw polyester fabric weekly. The table below pertinent data concerning the manufacture of the shirts.
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?Shirt
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Total Meters/Shirt
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Fabric Requirement
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Weekly Contracts (at least)
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Weekly Demand (at most)
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Selling Price/Shirt
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A-Type
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1.00
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At least 50% linen
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500
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600
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$14.00
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B-Type
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1.20
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No more than 20% polyester
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650
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850
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$15.00
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C-Type
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.90
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As much as 80% polyester
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280
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675
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$18.00
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Formulate and solve this blending problem as a linear program to maximize the overall profit.
a. Define the decision variables
b. Define the objective function
c. Define the constraints
d. Solve the LP using Excel's Solver. Fully interpret your answer.
Please include in the answer:
-total profit
-how many shirts of each type to make
-how much of each type of fabric to purchase
-how much of each fabric is blended into ALL shirts of each type combined
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