and costs for the activities required to complete a project. Crash the completion time to the minimum level.
Activity A B C D E F G
Normal time, weeks
4 5 2 2 6 3 1
EAStartBDCFGEndCost $2500 $4000 $3000 $2000 $3000 $2000 $2000
Crash time, weeks
2 4 1 1 4 1 1
Cost $6000 $5000 $5000 $3000 $4000 $5000 $2000
2. (15 points) Six patients are waiting in a hospital emergency room to receive care for various complaints, ranging
from a sprained ankle to a gunshot wound. The patients are numbered in the sequence that they arrived and are given a priority weighting based on the severity of the problem. There is only one doctor available.
Patient
Time required Priority
1
30 min 2
2 1 hr 10
3
40 min 5
4
10 min 1
5 2 hr 2
6
20 min 3
a. Suppose that the patients are scheduled on an FCFS basis. Compute the weighted mean flow time, where the
weight is the priority number associated with each patient. (5 points) b. Perform the calculations in part (a) for SPT sequencing. (5 points)
Determine a sequence different from those in parts (a) and (b) that achieves a lower value of the weighted mean flow time. (5 points)
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3. (15 points) Two end products, EP1 and EP2, are produced in the Raleigh, North Carolina, plant of a large
manufacturer of furniture products located in the Southeast. The product structure diagrams for these products appear in the following figure.
EP1EP2A(1)1 weekB(2)2 weeksC(3)2 weeksD(1)1 weekE(1)1 weekF(3)2 weeksG(2)3 weeksH(1)2 weeksF(2)2 weeksG(3)3 weeksH(2)2 weeks
Suppose that the master production schedules for these two products are
Week EP1 EP2
9 120 60
10 110 70
11 75 90
12 20 75
13 55 25
14 90 30
15 210 55
Assuming lot-for-lot production, determine the planned order releases for components F, G, and H.
4. (15 points) A manufacturing company’s production manager wants a master production schedule covering next
year’s business. Given the following information about the company’s product. Initial inventory Lead time Demand time fence Month Forecasting Order Gross Requirement Scheduled Receipts Projected On-Hand Net Requirement Planned Order Receipts Planned Order Release Projected Available Balance Available to Promise
0 1 10 15 40 2 15 10 0 3 12 15 0 4 30 25 0 25 2 weeks March Safety inventory Lot size Plan time fence Periods (month) 5 28 30 0 6 35 40 0 7 40 40 0 8 45 40 0 9 43 45 0 10 20 15 0 11 17 20 0 12 23 25 0 5 80 August Please help the manager to fulfill the master production schedule. 课程答案网课刷课flyingjgh
5. (15 points) Toyco produces a line of Bonnie dolls and accessories at its plants in New York and Baltimore that
must be shipped to distribution centers in Chicago and Los Angeles. The company uses Air Freight, Inc., to make its shipments. Suppose that it can ship directly or through Pittsburgh and Denver. The daily production rates at the plants are respectively 4,000 and 5,000 units daily, and the demands at the distribution centers are respectively 3,500 and 5,500 units daily. The costs of shipping 1,000 units are given in the following table. Find the shipping routes and the associated cost obtained using the greedy heuristic.
F R O M New York Baltimore Pittsburgh Denver Pittsburgh $180 $75 ---- $275 TO Denver $375 $290 $275 ---- Chicago $285 $245 $125 $90 Los Angeles $460 $575 $380 $110 6.
a. b. c.
(20 points) The home appliance department of a large department store is using a lot size-reorder point system to control the replenishment of a particular model of FM table radio. The store sells an average of 10 radios each week. Weekly demand follows a normal distribution with variance 25. The store pays $20 for each radio, which it sells for $75. Fixed costs of replenishment amount to $28. The accounting department recommends a 20 percent annual interest rate for the cost of capital. Annual storage costs amount to 3 percent and breakage to 2 percent of the value of each item. If a customer demands the radios when it is out of stock, the customer will generally go elsewhere. The cost of a stock-out is the cost of lost profit plus an additional $25 per radio, which represents the cost of loss-of-goodwill. Replenishment lead time is 9 weeks. Assume 52 weeks in a year for your calculations. If lot sizes are based on the EOQ formula, what reorder level should be used for the radios? (6 points) Find the optimal values of (Q,R). (6 points)
Compare the average annual costs of holding, ordering, and stock-out for the policies that you found in parts (a) and (b). (6 points)
What is the safety stock for this item at the optimal solution? (2 points)
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