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 hours of 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.Which of the following is the decision variable for the LP formulation?
A)total revenue generated
B)number of sewing hours and number of cutting hours required
C)number of shirts and number of pairs of pants to be produced
D)total production time

Question

Quizplus · Accepted Answer

The decision variables in this LP formulation are the number of shirts and the number of pairs of pants to be produced. These variables are what the production manager has control over and can adjust in order to maximize profits. The other options (total revenue generated, number of sewing hours and number of cutting hours required, and total production time) are either outcomes of the decision variables or constraints on the decision variables.

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