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 ft 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.