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Use the 'graphical method' of solving linear programming problems for these questions. Show the tables that were use to construct the linear programming equations/ inequalities wherever required. 3. A manufacture produces two types of roof bolts R1 and R2. Each bolt of type R1 requires 4.0 hours of cutting and 2.0 hours of welding; whereas each bolt of type R2 requires 2.0 hours of cutting and 5.0 hours of welding. The manufacture has two cutting workers and three welders. Each cutting worker works for 40.0 hours a week and each welder works 60.0 hours a week. Profit on R1 is $3.00 and R2 is $4.00. Everything produced in a week is immediately sold in the market. How should the manufacture allocate his production capacity to the two type of bolts, so that the manufacture makes maximum profit in a week? [50 pts. ]