* Linear Programming 201 The Looking Glass Co. receives a special or hand-crafted goods to be made in Plants A and throughout the next 4 mon will require borrowing employees from the work crews assigned to regular such that remaining workers must work overtime to time the full productio capacity of the plant's machinery and equipment. In particular, for the two ne regular products (PL & P2) overtime will be required for the last 25% of prod capacity available in Plant A to make product 1. and the last 50% of capacity B to make product 2. The additional cost of using overtime work reduces the for each P1 unit from $3 to $2 and for P2 from $5 to $1. Your manager has decided to use overtime work rather than hire temporary wo during this production sprint. However, he insists that work crews for each pro use all available regular time before any overtime is paid. Furthermore, he will approve temporary changes in current production rates if it improves overall profitability. You are to review production again to determine the most profitab production mix over the 4-month sprint. a. (5) Reformulate your answer to Problem 7 and present this optimization problem in standard form. b. (10) Modify and submit your MATLAB code from Problem 7. 1. It should accept input values provided and produces the solution the hase nroblem formulation (unit production by product/plant, 3. Linear Programming 20 The Looking Glass Co. receives a special order for hand-crafted goods to be made in Plants A and B throughout the next 4 months. This will require borrowing employees from the work crows assigned to regular products such that remaining workers must work overtime to utilize the full production capacity of the plant's machinery and equipment. In particular, for the two new regular products (PI & P2) overtime will be required for the last 25% of production capacity available in Plant A to make product 1. and the last 50% of capacity in Plant B to make product 2. The additional cost of using overtime work reduces the profit for each P1 unit from $3 to $2 and for P2 from $5 to $1. Your manager has decided to use overtime work rather than hire temporary workers during this production sprint. However, he insists that work crews for each product use all available regular time before any overtime is paid. Furthermore, he will approve temporary changes in current production rates if it improves overall profitability. You are to review production again to determine the most profitable production mix over the 4-month sprint. a. (5) Reformulate your answer to Problem 7 and present this optimization problem in standard form. b. (10) Modify and submit your MATLAB code from Problem 7. i. It should accept input values provided and produces the solution to the base problem formulation (unit production by product/plant, and the total profit). ii. Run the program and provide your output. c. (5) Construct a simple line plot of production rate' vs. 'profit rate for each of P1 & P2. Provide an interpretation of your profit graphs for management. * Linear Programming 201 The Looking Glass Co. receives a special or hand-crafted goods to be made in Plants A and throughout the next 4 mon will require borrowing employees from the work crews assigned to regular such that remaining workers must work overtime to time the full productio capacity of the plant's machinery and equipment. In particular, for the two ne regular products (PL & P2) overtime will be required for the last 25% of prod capacity available in Plant A to make product 1. and the last 50% of capacity B to make product 2. The additional cost of using overtime work reduces the for each P1 unit from $3 to $2 and for P2 from $5 to $1. Your manager has decided to use overtime work rather than hire temporary wo during this production sprint. However, he insists that work crews for each pro use all available regular time before any overtime is paid. Furthermore, he will approve temporary changes in current production rates if it improves overall profitability. You are to review production again to determine the most profitab production mix over the 4-month sprint. a. (5) Reformulate your answer to Problem 7 and present this optimization problem in standard form. b. (10) Modify and submit your MATLAB code from Problem 7. 1. It should accept input values provided and produces the solution the hase nroblem formulation (unit production by product/plant, 3. Linear Programming 20 The Looking Glass Co. receives a special order for hand-crafted goods to be made in Plants A and B throughout the next 4 months. This will require borrowing employees from the work crows assigned to regular products such that remaining workers must work overtime to utilize the full production capacity of the plant's machinery and equipment. In particular, for the two new regular products (PI & P2) overtime will be required for the last 25% of production capacity available in Plant A to make product 1. and the last 50% of capacity in Plant B to make product 2. The additional cost of using overtime work reduces the profit for each P1 unit from $3 to $2 and for P2 from $5 to $1. Your manager has decided to use overtime work rather than hire temporary workers during this production sprint. However, he insists that work crews for each product use all available regular time before any overtime is paid. Furthermore, he will approve temporary changes in current production rates if it improves overall profitability. You are to review production again to determine the most profitable production mix over the 4-month sprint. a. (5) Reformulate your answer to Problem 7 and present this optimization problem in standard form. b. (10) Modify and submit your MATLAB code from Problem 7. i. It should accept input values provided and produces the solution to the base problem formulation (unit production by product/plant, and the total profit). ii. Run the program and provide your output. c. (5) Construct a simple line plot of production rate' vs. 'profit rate for each of P1 & P2. Provide an interpretation of your profit graphs for management