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A production manager wants to determine how many units of each product to produce weekly to maximize weekly profits. Production requirements for the products are

  1. A production manager wants to determine how many units of each product to produce weekly to maximize weekly profits. Production requirements for the products are shown in the following table.

ProductMaterial 1 (lbs.)Material 2 (lbs.)Labor (hours)
A324
B142
C5none3.5

Material 1 costs $7 a pound, material 2 costs $5 a pound, and labor costs $15 per hour. Product A sells for $101 a unit, product B sells for $67 a unit, and product C sells for $97.50 a unit. Each week there are 300 pounds of material 1; 400 pounds of material 2; and 200 hours of labor. Also, there is a weekly demand of 10 units of product C each week.

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Problem 27 Produce A Prodcut B Product C Number of Units 0.00 D.00 D.00 Revenue $101.00 $67.00 $97.50 Material cost $31.00 $27.00 $35.00 Labor cost $60.00 $30.00 $52.50 Profit $10.00 $10.00 $10.00 $0.00 Constraints Cost Material 1 5 0.00 300 Material 2 O IN 0.00 400 Labour Hours A NJ 4 0.00 200 Product C demand 0.00 10 LHS Sign RHS

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