*** A company manufactures two products on two machines. A unit of product 1 requires 2...

 

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*** A company manufactures two products on two machines. A unit of product 1 requires 2 hours on machine 1 and 1 hour on machine 2. For product 2, one unit requires 1 hour on machine 1 and 3 hours on machine 2. The revenues per unit of products 1 and 2 are $30 and $20, respectively. The total daily processing time for each machine is 8 hours. The company production data can be summarised in the table below Product 1 Product 2 Maximum operation hours Hours needed on M Hours needed on M Unit profit 2 1 1 3 8 8 (2.1) (4 points) Let and 2 represent the daily number of units of products 1 and 2, respectively. Formulate the corresponding LP for the problem described. (2.2) (3 points) The figure to the right shows a plotting of the two constraints L and L for the LP corresponding to the given problem. i. (1 point) Shade the feasible region. ii. (2 points) The optimum objective value is z = 128 at the point C. Compute the values of r and 12 at this point. X2 1422 06 8 $30 $20 7. 6 5 3 Objective function L3 0 1 2 3 4 5 6 7 8 9 *** A company manufactures two products on two machines. A unit of product 1 requires 2 hours on machine 1 and 1 hour on machine 2. For product 2, one unit requires 1 hour on machine 1 and 3 hours on machine 2. The revenues per unit of products 1 and 2 are $30 and $20, respectively. The total daily processing time for each machine is 8 hours. The company production data can be summarised in the table below Product 1 Product 2 Maximum operation hours Hours needed on M Hours needed on M Unit profit 2 1 1 3 8 8 (2.1) (4 points) Let and 2 represent the daily number of units of products 1 and 2, respectively. Formulate the corresponding LP for the problem described. (2.2) (3 points) The figure to the right shows a plotting of the two constraints L and L for the LP corresponding to the given problem. i. (1 point) Shade the feasible region. ii. (2 points) The optimum objective value is z = 128 at the point C. Compute the values of r and 12 at this point. X2 1422 06 8 $30 $20 7. 6 5 3 Objective function L3 0 1 2 3 4 5 6 7 8 9