The Gutchi Company manufactures purses, shaving bags, and backpacks. The construction of the three products requires leather and synthetics, with leather being the limiting raw material. The production process uses two types of skilled labor: sewing and finishing.

The following table gives the availability of the resources, their usage by the three products, and the prices per unit.

Formulate the problem as a linear program and find the optimum solution. Next, indicate whether the following changes in the resources will keep the current solution feasible. For the cases where feasibility is maintained, determine the new optimum solution (values of the variables and the objective function).

(a) Available leather is increased to 45 ft².

(b) Available leather is decreased by 1 ft².

(c) Available sewing hours are changed to 38 hours.

(d) Available sewing hours are changed to 46 hours.

(e) Available finishing hours are decreased to 15 hours.

(f) Available finishing hours are increased to 50 hours.

(g) Would you recommend hiring an additional sewing worker at $15 an hour?

Transcribed Image Text:

Resource requirements per unit Resource Purse Bag Backpack Daily availability Leather (f 2 Sewing (hr) Finishing (hr) 1 Price (3) 42 40 15 2 24 45