Medical Ltd., an Israeli producer of portable kidney dialysis units and other medical products, develops a 4-month aggregate plan. re forecast as follows: Capacity Source Labor Regular time Overtime Subcontract Demand Month 1 Month 2 Month 3 Month 4 300 18 15 265 280 26 245 15 12 260 24 17 306 18 316 301 cost of producing each dialysis unit is $985 on regular time, $1,310 on overtime, and $1,600 on a subcontract. Inventory carrying cost is $100 to be no beginning or ending inventory in stock and backorders are not permitted
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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…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).
- 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…A forecast of 320 units in January, 400 units in February,and 240 units in March has been approved for the seismic-sensory product family manufactured at the Rockport facilityof Maryland Automated, Inc. Three products, A, B, and C,comprise this family. The product mix ratio for products A,B, and C for the past 2 years has been 35 percent, 40 percent,and 25 percent, respectively. Management believes that themonthly forecast requirements are evenly spread over the4 weeks of each month. Currently, 15 units of product C areon hand. The company produces product C in lots of 40, andthe lead time is 2 weeks. A production quantity of 40 unitsfrom the previous period is scheduled to arrive in week 1. Thecompany has accepted orders of 25, 9, 11, 5, 4, and 9 unitsof product C in weeks 1 through 6, respectively. Prepare aprospective MPS for product C and calculate the available-to-promise inventory quantities. Manager T. C. Downs of Plum Engines, a producer of lawn mowers and leaf blowers, must developan aggregate plan given the forecast for engine demand shown in the table. The department has aregular output capacity of 130 engines per month. Regular output has a cost of $60 per engine. Thebeginning inventory is zero engines. Overtime has a cost of $90 per engine.a. Develop a chase plan that matches the forecast and compute the total cost of your plan. Regularproduction can be less than regular capacity. b. Compare the costs to a level plan that uses inventory to absorb fluctuations. Inventory carryingcost is $2 per engine per month. Backlog cost is $90 per engine per month. There should not bea backlog in the last month.MONTH1 2 3 4 5 6 7 8 TotalForecast 120 135 140 120 125 125 140 135 1,040
- Problem 11-11 (Static) A manager is attempting to put together an aggregate plan for the coming nine months. She has obtained a forecast of expected demand for the planning horizon. The plan must deal with highly seasonal demand; demand is relatively high in periods 3 and 4, and again in period 8, as can be seen from the following forecasts. Period 1 2 3 4 5 6 7 8 9 Total Forecast 190 230 260 280 210 170 160 260 180 1,940 The department now has 20 full-time employees, each of whom produces 10 units of output per period at a cost of $6 per unit. Beginning inventory for period 1 is zero. Inventory carrying cost is $5 per unit per period, and backlog cost is $10 per unit per period. The manager has decided to use part-time workers to assist during seasonal peaks. The cost per unit, including hiring and training, is $11. The output rate is 10 units per worker per period for all workers. A maximum of 10 part-time workers can be used, and the same number of part-time workers…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.
- Manager T. C. Downs of Plum Engines, a producer of lawn mowers and leaf blowers, must develop an aggregate plan given the forecast for engine demand shown in the table. The department has a regular output capacity of 135 engines per month. Regular output has a cost of $60 per engine. The beginning inventory is zero engines. Overtime has a cost of $100 per engine. a. Develop a chase plan that matches the forecast and compute the total cost of your plan. Regular production can be less than regular capacity. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required.) b. Compare the costs to a level plan that uses inventory to absorb fluctuations. Inventory carrying cost is $2 per engine per month. Backlog cost is $120 per engine per month. There should not be a backlog in the last month. Set regular production equal to the monthly average of total forecasted demand. Assume that using overtime is not an option. (Negative amounts…A forecast of 240 units in January, 320 units in February, and 240 units in March has been approved for the seismic-sensory product family manufactured at the Rockport facility of Maryland Automated, Inc. Three products, A, B, and C, comprise this family. The product mix ratio for products A, B, and C for the past 2 years has been 35 percent, 40 percent,and 25 percent, respectively. Management believes that the monthly forecast requirements are evenly spread over the 4 weeks of each month. Currently, 10 units of product C are on hand. The company produces product C in lots of 40, and the lead time is 2 weeks. A production quantity of 40 units from the previous period is scheduled to arrive in week 1. Thecompany has accepted orders of 25, 12, 8, 10, 2, and 3 units of product C in weeks 1 through 6, respectively. Prepare a prospective MPS for product C and calculate the availableto-promise inventory quantities.Jerusalem Medical Ltd., an Israeli producer of port-able kidney dialysis units and other medical products, develops a 4-month aggregate plan. Demand and capacity (in units) areforecast as follows:CAPACITYSOURCE MONTH 1 MONTH 2 MONTH 3 MONTH 4LaborRegular time 235 255 290 300Overtime 20 24 26 24Subcontract 12 15 15 17Demand 255 294 321 301The cost of producing each dialysis unit is $985 on regular time, $1,310 on overtime, and $1,500 on a subcontract. Inventory car-rying cost is $100 per unit per month. There is to be no beginning or ending inventory in stock and backorders are not permitted. Set up a production plan that minimizes cost using the transpor-tation method.