3 products are produced by a company which need time on 2 machines within the manufacturing facility. During a week of production, each machine is limited to a maximum capacity of 10 hours to the production of the 3 products. The time of production per pallet of a product in a machine is shown in the table. Product Production Time Raw Material consumption Market Value (Hours/Pallet) (Lb/Pallet) ($/pallet) M/C1 M/C2 RM 1 RM 2 A 5 4 1 0.5 400 B 8 6 2 1 600 C 10 7 0.75 0.5 500 Two raw materials are used to create each product. The pounds of raw materials needed to produce a pallet of product are shown in the table. The cost of operations per hour per machine is $15 and $12, respectively. The costs of purchase and storage of these raw materials, RM1 and RM2, is $60/lb and $80/1b, respectively. The sales department has found that there is weekly demand for up to ten each of products A and C and up to 20 of product B. The sales price of a pallet of each product is shown in the final column under 'Market Value'. If raw material deliveries from suppliers come once every 4 weeks, find the order size for each raw material such that the weekly profit is maximised