Plan production for a four-month period (February through May
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Plan production for a four-month period (February through May).
Given information:
- For February and March, you should produce to exact demand
forecast. - For April and May, you should use overtime and inventory with a stable workforce; stable means that the number of workersneeded for March will be held constant through May. However, government constraints put a maximum of 5,000 hours of overtime labor per month in April and May (zero overtime in February and March).
- If demand exceeds supply, then backorders occur.
- There are 100 workers on January 31.
- You are given the following demand forecast: February, 80,000; March, 64,000; April, 100,000; May, 40,000.
- Productivity is four units per worker hour, eight hours per day, 20 days per month.
- Assume zero inventory on February 1.
- Costs are hiring, $50 per new worker; layoff, $70 per worker laid off; inventory holding, $10 per unit-month; straight-time labor, $10 per hour; overtime, $15 per hour; backorder, $20 per unit.
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- Plan production for a four-month period: February through May. For February and March, you should produce to exact demand forecast. For April and May, you should use overtime and inventory with a stable workforce; stable means that the number of workers needed for March will be held constant through May. However, government constraints put a maximum of 5,000 hours of overtime labor per month in April and May (zero overtime in February and March). If demand exceeds supply, then backorders occur. There are 100 workers on January 31. You are given the following demand forecast: February, 90,000; March 65,000; April 110,000; May, 55,000. Productivity is four units per worker hour, eight hours per day, 20 days per month. Assume zero inventory on February 1. Costs are hiring, $50 per new worker; layoff, $70 per worker laid off; inventory holding, $10 per unit-month; straight-time labor, $10 per hour; overtime, $15 per hour; backorder, $20 per unit a. Find the total cost of this plan?Plan production for a four-month period: February through May. For February and March, you should produce to exact demand forecast. For April and May, you should use overtime and Inventory with a stable workforce; stable means that the number of workers needed for March will be held constant through May. However, government constraints put a maximum of 5,000 hours of overtime labor per month in April and May (zero overtime in February and March). If demand exceeds supply, then backorders occur. There are 100 workers on January 31. You are given the following demand forecast: February, 80,640; March, 67,200; April, 100,280; May, 40,280. Productivity is four units per worker hour, eight hours per day, 21 days per month. Assume zero Inventory on February 1. Costs are: hiring, $50 per new worker, layoff, $70 per worker laid off, Inventory holding, $11 per unit-month; regular time labor, $12 per hour; overtime, $18 per hour; backorder, $22 per unit. Develop a production plan and calculate…This company has the following aggregate demand requirements and other data for the upcoming four quarters. Quarter Demand Previous quarter's output 1500 units 1 1400 Beginning inventory 200 units 2 1000 Stockout cost $50 per unit 3 1500 Inventory holding cost $8 per unit at end of quarter 4 1300 Hiring workers $5 per unit Laying off workers $10 per unit Unit cost $30 per unit Overtime $10 extra per unit Which of the following production plans is better: Plan 1—chase demand by hiring and layoffs; or Plan 2—produce at a constant rate of 1200 and obtain the remainder from overtime? Finish the calculation. Plan 1. Demand Regular Time Capacity Regular Time Production Hire Fire Initial Inventory Period 1 1,400 1200 Period 2 1,000 Period 3 1,500 Period 4 1,300…
- The demand information is given below. Month Jan Feb Mar Apr May Jun Demand 1,900 2,800 4,700 5,600 5,600 1,750 A worker can produce 25 units per month. Assume that the beginning inventory in January is 450 units, and the firm desires to have 300 units of inventory at the end of June. Use a chase production strategy to compute the monthly production, ending inventory/(backlog) and workforce levels. Do not round intermediate calculations. Round your answers to the nearest whole number. Use a minus sign to enter a negative value, if any. If your answer is zero, enter "0". Month Jan Feb Mar Apr May Jun Demand 1,900 2,800 4,700 5,600 5,600 1,750 Production Ending inventory 450 Workforce Use a level production strategy to compute the monthly production, ending inventory/(backlog) and workforce levels. Do not round intermediate calculations. Round your answers to the nearest whole number. Use a minus sign to enter a negative value, if any. If your answer is zero, enter "0". Month Jan Feb Mar…Develop a production plan and calculate the annual cost for a firm whose demand forecast is: fall, 10,100; winter, 8,100; spring, 7,100; summer, 12,100. Inventory at the beginning of fall is 505 units. At the beginning of fall you currently have 30 workers, but you plan to hire temporary workers at the beginning of summer and lay them off at the end of summer. In addition, you have negotiated with the union an option to use the regular workforce on overtime during winter or spring if overtime is necessary to prevent stock-outs at the end of those quarters. Overtime is not available during the fall. Relevant costs are hiring, $100 for each temp; layoff, $200 for each worker laid off; inventory holding, $5 per unit-quarter; backorder, $10 per unit; regular time, $5 per hour; overtime, $8 per hour. Assume that the productivity is 0.5 unit per worker hour, with eight hours per day and 60 days per season. In each quarter, produce to the full output of your regular workforce, even if that…Capacity planning requires a demand forecast for an extended period of time into the future. What concerns would you have regarding an extended forecast as a capacity planner?
- An engineering plant has developed the accompanying supply, demand, cost and inventory data. The engineering plant has a constant workforce and meets all its demands. Allocate production capacity to satisfy demand at a minimum cost. What is the cost of this plan? (Assume that back ordering is not a viable alternative for the plant) Demand forecast Period Demand (Unit) 1 650 2 700 3 900 Supply Capacity available (units) Period Regular time Overtime Subcontract 1 350 100 250 2 450 100 250 3 500 100 250 Other Data Initial Inventory 100 units Regular-time cost per unit R 50 Overtime cost per unit R 65 Subcontract cost per unit R 80 Carrying cost per unit per period R 1 Back order cost per unit per period R 4Southeast Soda Pop, Inc., has a new fruit drink for which it has high hopes. John Mittenthal, the production planner, has assembled the following cost data and demand forecast: demand forecast. Quarter Forecast 1 1,900 2 1,200 3 1,600 4 800 Costs/Other Data Previous quarter's output=1,200 cases Beginning inventory=0 cases Stockout cost of backorders=$160 per case Inventory holding cost=$40 per case at end of quarter Hiring employees=$35 per case Terminating employees=$80 per case Subcontracting cost=$65 per case Unit cost on regular time=$30 per case Overtime cost=$20 extra per case Capacity on regular time=1,900 cases per quarter John's job is to develop an aggregate plan. The three initial options he wants to evaluate are: • Plan A: a strategy that hires and fires personnel as necessary to meet the forecast. • Plan B: a level strategy. • Plan C: a level strategy that…APP Trial and Error -- Level Production Given the following forecasted demands with no capacity limits and no beginning inventory: Quarter Demand 200 900 1 234 Trial and Error is to be used to determine a production plan with a Level Production strategy. How many units will be produced by Regular Production in the 1st quarter? O.200 O 300 400 500 600 800 500 O 700
- Develop a production plan and calculate the annual cost for a firm whose demand forecast is fall, 10,000; winter, 8,000; spring, 7,000; summer, 12,000. Inventory at the beginning of fall is 500 units. At the beginning of fall, you currently have 30 workers, but you plan to hire temporary workers at the beginning of summer and lay them off at the end of summer. In addition,you have negotiated with the union an option to use the regular workforce on overtime during winter or spring if overtime is necessary to prevent stock-outs at the end of those quarters. Overtime is not available during the fall. Relevant costs are hiring, $100 for each temp; layoff, $200 for each worker laid off; inventory holding, $5 per unit-quarter; backorder, $10 per unit; straight time, $5 per hour; over time, $8 per hour. Assume that productivity is 0.5 units per worker hour, with eight hours per day and 60 days per season. (Answer in Appendix D)Develop a production plan and calculate the annual cost for a firm whose demand forecast is fall, 11,000; winter, 8,000; spring, 6,000; summer, 13,000. Inventory at the beginning of fall is 500 units. At the beginning of fall you currently have 30 workers, but you plan to hire temporary workers at the beginning of summer and lay them off at the end of summer. In addition, you have negotiated with the union an option to use the regular workforce on overtime during winter or spring if overtime is necessary to prevent stockouts at the end of those quarters. Overtime is not available during the fall. Relevant costs are hiring, $100 for each temp; layoff $200 for each worker laid off; inventory holding, $5 per unit-quarter; backorder, $10 per unit; straight time, $5 per hour; overtime, $8 per hour. Assume that the productivity is 0.5 unit per worker hour, with eight hours per day and 60 days per season. a. What is the total cost for this plan?In aggregate planning ,the option that tries to smooth the demand pattern, but do not impact supply or capacity is called demand option. true or fales