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 hours of sewing machine time and up to 150 hour cutting machine time.Production of one shirt requires 3 hours of sewing time and 1 hour of cutting time.Each pair of pants requires 2 hours of sewing time and 1.5 hours 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.Let X₁ = Number of shirts to be produced,X₂ = Number of pairs of pants to be produced.Which one of the following corner point (x1,x2)yields the maximum profit in this LP formulation?
A)(24,84)
B)(80,100)
C)(84,24)
D)(80,0)

Question

Quizplus · Accepted Answer

The corner point (24,84) yields the maximum profit because it is the only corner point that satisfies all of the constraints and has the highest objective function value.

ABC,Inc,Is a Small Clothing Manufacturer That Produces Shirts and Pants