3-31. The Gutchi Company manufactures purses, shaving bags, and backpacks. The construction includes leather and synthetics, leather being the scarce raw material. The production pro- cess requires 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 profits per unit. Resource Leather (ft) Sewing (hr) Finishing (hr) Selling price ($) Resource requirements per unit Backpack Purse 2 2 1 24 Bag 1 .5 22 32 1 45 Daily availability 42 ft 40 hr 45 hr (a) Formulate the problem as a linear program, and find the optimum solution (using TORA, Excel Solver, or AMPL). (b) From the optimum solution, determine the status of each resource.

-31. The Gutchi Company manufactures purses, shaving bags, and backpacks. The construction includes leather and synthetics, leather being the scarce raw material. The production process requires 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 profits per unit. (a) Formulate the problem as a linear program, and find the optimum solution (using TORA, Excel Solver, or AMPL). (b) From the optimum solution, determine the status of each resource