Jamestown Furniture Company is a small, but fast-growing manufacturer of living room furniture. Its two principal products are end tables and sofas. There are five processes in the manufacturing at Jamestown: Cutting the lumber, cutting the fabric, sanding, staining, and assembly. Jamestown has one employee working in fabric cutting and one employee working in staining. These are relatively skilled workers, and could be replaced only with some difficulty. The cutting and sanding operations are performed by two workers each, and while there is some skill to these operations, it is less critical than for staining and for fabric cutting. Assembly is the least skill-based process, and is currently done by one full-time employee and a group of part timers who provide a total of 175 minutes of working time per week. The other employees work a 40 hour week, with 5 hours off for breaks, training, and personal time. Assume a four week month, and that by prior agreement, any of the employees can be switched from one task to another. The current demand for Jamestown's products and sales prices are provided below. Jamestown expects demand to increase significantly in the coming months (this depends on whether it is able to successfully obtain the order it is negotiating to get from a motel chain). The materials cost for the table is $150 and $275 for the sofa. End Tables Sofas Price $ 500 $ 800 Current demand (units per month) 250 150 The time required for each activity and the total time available are shown below. Required time for Table Required time for Sofa Required Total Time Hours Available Slack Time Cut 150 45 195 280 85 Sand 100 30 130 280 150 Assemble 125 225 350 700 350 Stain 250 120 370 280 (90) Cut Fabric 0 90 90 140 50 Required: What is the most profitable production plan for Jamestown? Explain your answer with supporting calculations. marks (20) please can i have the answers within 30 minutes please please