Response to the following:
(1) Consider a small production system for manufacturing two products, X and Y as shown below. Manufacturing X requires two raw materials (RM 1 and 2). Manufacturing Y also requires two raw materials (RM 2 and 3). In addition, Y uses a purchased component that costs $10 per unit. Four work centers (A, B, C, and D) are used to manufacture the products. Each has 7,200 minutes (120 hours; 3-eight hour shifts) available each week. Operating expenses for the week, including everything except materials costs, is $12,000.
X Y
Demand per week 300 units 150 units
Selling price $180/unit $200/unit
Raw material costs (per unit)
RM 1 $40
RM 2 $40 $40
RM 3 $40
Purchased parts $10
Time available on each work center is 7,200 minutes.
(a) What is the maximum potential profit of the production system?
(b) Find the bottleneck work center. Show why it is a constraint.
(c) What is the maximum feasible amount of profit subject to the constraint?
(d) The manager plans to purchase a new technology at $750,000 to reduce the processing time on both RM 2 and RM 3 at the bottleneck workstation by half. What would you say about his plan? Discuss.
Attachment:- refer.rar