AlwaysRain Irrigation, Inc. would like to determinecapacity requirements for the next four years.Currently, two production lines are in place formaking bronze and plastic sprinklers. Three types ofsprinklers are available in both bronze and plastic: 90-degree nozzle sprinklers, 180-degree nozzlesprinklers, and 360-degree nozzle sprinklers.Management has forecast demand for the next fouryears as follows:Plastic 90Plastic 180Plastic 360Bronze 90Bronze 180Bronze 3601 (IN 0005)3314516410YEARLY DEMAND2 (IN 000s) 3 (IN 000s) 4 (IN 0005)42155464PlasticDemand for plastic sprinklersPercentage of capacity usedMachine requirementsLabor requirementsBronzeDemand for bronze sprinklersPercentage of capacity usedMachine requirementsLabor requirements125418615614Both production lines can produce all the different types of nozzles. The bronze machines needed for the bronze sprinklers requirefour operators and can produce up to 15,000 sprinklers. The plastic injection molding machine needed for the plastic sprinklersrequires five operators and can produce up to 240,000 sprinklers. Three bronze machines and only one injection molding machine areavailable.What are the capacity requirements for the next four years? (Assume that there is no learning.) (Enter the demand values inthousands. Round your answers to 2 decimal places.)Year 1511768141217%%Year 2%%Year 3%%Year 4%%

Plastic sprinklers:1 machineCapacity 240,0005 workersTotal available capacity = 240,000 * 1 =…

Answered: What are the capacity requirements for…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 46P

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AlwaysRain Irrigation, Incorporated would like to determine capacity requirements for the next four years. Currently two production lines are in place for making bronze and plastic sprinklers. Three types of sprinklers are available in both bronze and plastic: 90-degree nozzle sprinklers, 180-degree nozzle sprinklers, and 360-degree nozzle sprinklers. Management has forecast demand for the next four years as follows: YEARLY DEMAND 1 (IN 000s) 2 (IN 000s) 3 (IN 000s) 4 (IN 000s) Plastic 90 32 44 55 56 Plastic 180 15 16 17 18 Plastic 360 50 55 64 67 Bronze 90 7 8 9 10 Bronze 180 3 4 5 6 Bronze 360 11 12 15 18 Both production lines can produce all the different types of nozzles. The bronze machines needed for the bronze sprinklers require two operators and can produce up to 12,000 sprinklers. The plastic injection molding machine needed for the plastic sprinklers requires four operators and can produce up to 200,000 sprinklers. Three bronze machines and only one…
Spectrum Hair Salon is considering expanding itsbusiness, as it is experiencing a large growth. Th e question iswhether it should expand with a bigger facility than needed,hoping that demand will catch up, or with a small facility,knowing that it will need to reconsider expanding in three years.Th e management at Spectrum has estimated the followingchances for demand:• Th e likelihood of demand being high is 0.70.• Th e likelihood of demand being low is 0.30.Estimated profi ts for each alternative are as follows:• Large expansion has an estimated profi tability of either$100,000 or $70,000, depending on whether demand turnsout to be high or low.• Small expansion has a profi tability of $50,000, assuming thatdemand is low.• Small expansion with an occurrence of high demand wouldrequire considering whether to expand further. If thebusiness expands at this point, the profi tability is expected tobe $90,000. If it does not expand further, the profi tability isexpected to be $60,000.Draw a…
Spectrum Hair Salon is considering expanding itsbusiness, as it is experiencing a large growth. Th e question iswhether it should expand with a bigger facility than needed,hoping that demand will catch up, or with a small facility,knowing that it will need to reconsider expanding in three years.Th e management at Spectrum has estimated the followingchances for demand:• Th e likelihood of demand being high is 0.70.• Th e likelihood of demand being low is 0.30.Estimated profi ts for each alternative are as follows:• Large expansion has an estimated profi tability of either$100,000 or $70,000, depending on whether demand turnsout to be high or low.• Small expansion has a profi tability of $50,000, assuming thatdemand is low.• Small expansion with an occurrence of high demand wouldrequire considering whether to expand further. If thebusiness expands at this point, the profi tability is expected tobe $90,000. If it does not expand further, the profi tability isexpected to be $60,000.
A manager is attempting to put together an aggregate production plan for the coming nine months. She has obtained forecasts of aggregate demand for the planning horizon. The plan must deal with highly seasonal demand; demand is relatively high in months 3 and 4, and again in month 8, as can be seen below: The company has 20 permanent employees, each of whom can produce 10 units of output per month at a cost of $6 per unit. Inventory holding cost is $5 per unit per month, and back-order cost is $10 per unit per month. The manager is considering a plan that would involve hiring two people to start working in month 1, one on a temporary basis who would work until the end of month 5. The hiring of these two would cost $500. Beginning inventory is 0.Start with 20 permanent workers. Prepare a minimum cost plan that may use some combination of hiring ($250 per worker), subcontracting ($8 per unit, maximum of 20 units per month, must use for at least three consecutive months), and overtime…
Jerusalem Medical Ltd., an Israeli producer of portable kidney dialysis units and other medical products, develops a 4-month aggregate plan. Demand and capacity (in units) are forecast as follows: Capacity Source Month 1 Month 2 Month 3 Month 4 Labor Regular time 245 265 280 300 Overtime 15 24 26 22 Subcontract 14 17 20 15 Demand 260 306 316 305 The cost of producing each dialysis unit is $875 on regular time, $1,310 on overtime, and $1,500 on a subcontract. Inventory carrying cost is $100 per unit per month. There is to be no beginning or ending inventory in stock and backorders are not permitted. Minimizing cost using the transportation method, the optimal cost is $nothing (enter your response as a whole number).
Jerusalem Medical Ltd., an Israeli producer of portable kidney dialysis units and other medical products, develops a 4-month aggregate plan. Demand and capacity (in units) are forecast as follows: Capacity Source Month 1 Month 2 Month 3 Month 4 Labor Regular time 245 265 300 300 Overtime 15 24 26 22 Subcontract 14 15 13 15 Demand 260 304 331 305 The cost of producing each dialysis unit is $875 on regular time, $1310 on overtime, and $1500 on a subcontract. Inventory carrying cost is $100 per unit per month. There is to be no beginning or ending inventory in stock and backorders are not permitted. Minimizing cost using the transportation method, the optimal cost is ???$ (enter your response as a whole number).
Carlos Cavalas, the manager of Echo Products’ Brazilian Division, is trying to set the production schedule for the last quarter of the year. The Brazilian Division had planned to sell 70,070 units during the year, but by September 30 only the following activity had been reported: Units Inventory, January 1 0 Production 71,100 Sales 63,700 Inventory, September 30 7,400 The division can rent warehouse space to store up to 30,500 units. The minimum inventory level that the division should carry is 2,800 units. Mr. Cavalas is aware that production must be at least 4,440 units per quarter in order to retain a nucleus of key employees. Maximum production capacity is 44,200 units per quarter. Demand has been soft, and the sales forecast for the last quarter is only 19,500 units. Due to the nature of the division’s operations, fixed manufacturing overhead is a major element of product cost. Required: 1a. Assume that the division is using variable costing. How many…
Mick Karra is the manager of MCZ Drilling products which produces a variety of especially valves for oil field equipment. Recent activity in the oil fields has cause demand to increase drastically, and a decision has been made to open a new manufacturing facility. Three locations are being considered, and the size of the facility would not be the same in each location Thus, overtime might be necessary at times. The following table gives the total monthly cost (in 1000s) for each possible location under each demand possibility. The probabilities for the demand levels have been determined to be 20% for low demand, 30% for medium demand, and 50% for high demand Demand is Low Demand is medium Demand is High Ardmore, OK 85 110 150 Sweetwater, TX 90 100 120 Lake Charles, LA 110 120 130 which location would minimize the expected opportunity loss?
Mick Karra is the manager of MCZ Drilling products which produces a variety of especially valves for oil field equipment. Recent activity in the oil fields has cause demand to increase drastically, and a decision has been made to open a new manufacturing facility. Three locations are being considered, and the size of the facility would not be the same in each location Thus, overtime might be necessary at times. The following table gives the total monthly cost (in 1000s) for each possible location under each demand possibility. The probabilities for the demand levels have been determined to be 20% for low demand, 30% for medium demand, and 50% for high demand Demand is Low Demand is medium Demand is High Ardmore, OK 85 110 150 Sweetwater, TX 90 100 120 Lake Charles, LA 110 120 130 which location should be selected to minimize the expected cost of operation? How much is a perfect forecast of the demand worth? which location would…
Mick Karra is the manager of MCZ Drilling products which produces a variety of especially valves for oil field equipment. Recent activity in the oil fields has cause demand to increase drastically, and a decision has been made to open a new manufacturing facility. Three locations are being considered, and the size of the facility would not be the same in each location Thus, overtime might be necessary at times. The following table gives the total monthly cost (in 1000s) for each possible location under each demand possibility. The probabilities for the demand levels have been determined to be 20% for low demand, 30% for medium demand, and 50% for high demand Demand is Low Demand is medium Demand is High Ardmore, OK 85 110 150 Sweetwater, TX 90 100 120 Lake Charles, LA 110 120 130 How much is a perfect forecast of the demand worth?
Gym Bunnies (GB) is a health club. It currently has 6000 members, with each member paying a subscription fee of $720 per annum. The club is comprised of a gym, a swimming pool and a small exercise studio.A competitor company is opening a new gym in GB’s local area, and this is expected to cause a fall in GB’s membership numbers, unless GB can improve its own facilities. Consequently, GB is considering whether or not to expand its exercise studio in a hope to improve its membership numbers. Any improvements are expected to last for three years.Option 1No expansion. In this case, membership numbers would be expected to fall to 5250 per annum for the next three years.Operational costs would stay at their current level of $80 per member per annum.Option 2Expand the exercise studio. The capital cost of this would be $360 000.The expected effect on membership numbers for the next three years is as follows Probability ....................Effect on membership numbers0.4…
Mick Karra is the manager of MCZ Drilling Products, which produces a variety of specialty Valves for oil equipment. Recent activity in the oil fields has caused demand to increase drastically, and a decision has been made to open a new manufacturing facility. Three locations are being considered and the size of the facility would not be the same in each location. Thus, overtime might be necessary at times. The following table gives the total monthly cost (in $1,000s) for each possible location under each demand possibility. The probabilities for the demand levels have been determined to be 20% for low demand, 30% for medium demand, and 50% for high demand. Demand is low Demand is medium Demand is High Ardmore, Ok 85 110 150 Sweetwater, Tx 90 100 120 lake Charles, LA 110 120 130 (a) Which location would be selected based on the optimistic criterion?(b) Which location would be selected based on the pessimistic…

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What are the capacity requirements for the next four years? (Assume that there is no learning.) (Enter the demand values in thousands. Round your answers to 2 decimal places.)