Operations Management- solve problems
Operations Management
Q1 Emergency calls to Winter Park, Florida’s 911 systems for the past 24 weeks are as follows:
(a) Compute the exponentially smoothed forecast of calls for each week. Assume an initial forecast of 50 calls in the first week and use alpha = 0.1. What is the forecast for the 25th week?
(b) Reforecast each period using alpha = 0.6.
(c) Actual calls during the 25th week were 85. Which smoothing constant provides a superior forecast?
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Q2The Outdoor Furniture Corporation manufacturing two products, benches and picnic tables, for use in yards and parks. The firm has two main resources: its carpenters (labor force) and a supply of redwood for use in the furniture. During the next production cycle, 1,200 hours of labor are available under a union agreement. The firm also has a stock of 3500 feet of good-quality redwood. Each bench that Outdoor Furniture produces requires 4 labor hours and 10 feet of redwood; each picnic table takes 6 labor hours and 35 feet of redwood. Completed benches will yield a profit of $9 each, and tables will result in a profit of $20 each. How many benches and tables should Outdoor Furniture produce to obtain the largest possible profit?
Q3 MSA Computer Corporation manufactures two models of minicomputers, the Alpha 4 and the Beta 5. The firm employs five technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (i.e., all 160 hours of time) be maintained for each worker during next month’s operations. It requires 20 labor hours to assemble each Alpha 4computer and 25 labor hours to assemble each Beta 5 model. MSA wants to see at least 10 Alpha4s and at least 15 Beta 5s produced during the production period. Alpha 4s generate $1,200 profit per unit, and Beta 5s yield $1,800 each. Determine the most profitable number of each model of minicomputer to produce during the coming month?
Q4 The Krampf Lines Railway Company specializes in coal handling. On Friday, April 13, Krampf had empty cars at the following towns in the quantities indicated
TOWN SUPPLY OF CARS
Morgantown 35
Youngstown 60
Pittsburgh 25
By Monday, April 16, the following towns will need coal cars as follows:
TOWN DEMAND FOR CARS
Coal Valley 30
Coaltown 45
Coal Junction 25
Coalsburg 20
Using a railway city-to-city distance chart, the dispatcher constructs a mileage table for the preceding towns. The result is shown in the table below. Minimizing total miles over which cars are moved to new locations, compute the best shipment of coal cars.
TO COAL VALLEY COALTOWN COAL JUNCTION COALSBURG
FROM
MORGANTOWN 50 30 60 70
YOUNGSTOWN 20 80 10 90
PITTSBURGH 100 40 80 30
Q5 The three blood banks in Franklin County are coordinated through a central office that facilitates blood delivery to four hospitals in the region. The cost to ship a standard container of blood from each bank to each hospital is shown in the table below. Also given are the biweekly number of containers available at each bank and the biweekly number of containers of blood needed at each hospital. How many shipments should be made biweekly from each blood bank to each hospital so that total shipment costs are minimized?
