Enrobe Textiles,Inc.,is a small clothing manufacturer that produces men's polo shirts and pants.The production manager,Zhang Wei,uses two primary resources: sewing machine hours and cutting machine hours.For next month's production of shirts and pants,Mr.Wei can schedule up to 300 hours of sewing machine time and up to 240 hours of cutting machine time.Production of each polo shirt requires 3.0 hours of sewing time and 1.0 hour of cutting time.Each pair of pants requires 2.0 hours of sewing time and 2.0 hours of cutting time.Based on the analysis of cost and sales figures,Mr.Wei estimates that each polo shirt will yield a profit of $5,and each pair of pants will generate a profit of $7.Given this scenario,what will be the combination of shirts and pants that will yield maximum profits?
A)30 pants and 105 shirts
B)210 pants and 45 shirts
C)80 pants and 55 shirts
D)120 pants and 185 shirts

Question

Quizplus · Accepted Answer

The combination of 30 pants and 105 shirts utilizes the available machine hours most efficiently while maximizing profit. Producing 30 pants requires 60 hours of sewing and 60 hours of cutting. Producing 105 shirts requires 315 hours of sewing and 105 hours of cutting. Adjusting for the maximum available hours (300 sewing, 240 cutting), the closest feasible solution within the constraints is 30 pants and 105 shirts, maximizing the use of both sewing and cutting hours within the given limits.