ABC, Inc., is a small clothing manufacturer that produces shirts and pants using two resources: sewing machine hours and cutting machine hours. The production manager can schedule up to 240 hr of sewing machine time and up to 150 hr of cutting machine time. Production of one shirt requires 3 hr of sewing time and 1 hr of cutting time. Each pair of pants requires 2 hr of sewing time and 1.5 hr of cutting time. Each shirt yields a profit of $5, and each pair of pants generates a $6 profit. The objective is to maximize profits. Determine sewing time constraint for the LP formulation. Let X1 = Number of shirts to be produced, X2 = Number of pairs of pants to be produced.
A. 3X1 + 2X2 ? 240
B. X1 + 1.5X2 ? 150
C. 3X1 + 2X2 ? 150
D. X1 + 1.5X2 ? 240
A. 3X1 + 2X2 ? 240
Business
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