4) The Gutchi Company manufactures purses, shaving bags, and backpacks. The construction includes leather and synthetics,...

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4) 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. Resource Resource requirements per unit Daily availability Purse Bag Backpack 2 3 2 2 2 16 Leather (ft) 1 Sewing (hr) 1 Finishing (hr) 2 Selling Price ($) 8 0 9 42 ft² 36 hr 20 hr a) The company wishes to maximize total income. Formulate the problem as a linear program b) Write the formulation in standard form c) Solve the problem using Simplex Algorithm. Only perform 2 iterations. 4) The Gutchi Company manufactures purses, shaving bags, and backpacks. The construction includes leather and synthetics, leather being the scarce raw material. The production process requires two types of skilled labor: sewing and finishing. The following table gives the availability of the resources, their usage by the three products, and the profits per unit. Resource Resource requirements per unit Daily availability Purse Bag Backpack 2 3 2 2 2 16 Leather (ft) 1 Sewing (hr) 1 Finishing (hr) 2 Selling Price ($) 8 0 9 42 ft² 36 hr 20 hr a) The company wishes to maximize total income. Formulate the problem as a linear program b) Write the formulation in standard form c) Solve the problem using Simplex Algorithm. Only perform 2 iterations.

Answer rating: 100% (QA)

a To formulate the problem as a linear program we need to define the decision variables the objective function and the constraints Let x1 be the number of purses produced per day x2 be the number of b... View the full answer