Hill is now considering plan C: Keep a stable workforceby maintaining a constant production ra te equal to the averagerequirements and allow varying in ventory levels. Beginning inventory,stockout costs, and holding costs are provided.Plot the demand with a graph that also shows average requirements.Conduct your analysis for January through August.
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Hill is now considering plan C: Keep a stable workforce by maintaining a constant production ra te equal to the average requirements and allow varying in ventory levels. Beginning inventory, stockout costs, and holding costs are provided.Plot the demand with a graph that also shows average requirements.Conduct your analysis for January through August. |
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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?A local firm manufactures children’s toys. The projected demand over the next four months for one particular model of toy robot is (given) Assume that a normal workday is eight hours. Hiring costs are $350 per worker and firing costs (including severance pay) are $850 per worker. Holding costs are $4.00 per aggregate unit held per month. Assume that it requires an average of 1 hour and 40 minutes for one worker to assemble one toy. Shortages are not permitted. Assume that the ending inventory for June was 600 of these toys and the manager wishes to have at least 800 units on hand at the end of October. Assume that the current workforce level is 35 workers. Find the optimal plan by formulating as a linear program.Jill wants you to consider a hybrid aggregate plan, usingup to the maximum overtime per employee for any periodwhere demand cannot be satisfi ed with the current regular-timeproduction and the available inventory. Back orders can occur.(a) Show what would happen if this plan were implemented.(b) Calculate the costs associated with this plan.(c) Evaluate the plan in terms of cost, customer service,operations, and human resources
- evelop a production plan and calculate the annual cost for a firm whose demand forecast is fall, 9,700; winter, 8,000; spring, 7,000; summer, 11,700. Inventory at the beginning of fall is 485 units. At the beginning of fall you currently have 35 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 only if overtime is necessary to prevent stockouts at the end of those quarters. Overtime is not available during the fall. Relevant costs are hiring, $80 for each temp; layoff, $160 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. In each quarter, produce to the full output of your regular workforce, even if that…Develop a chase aggregate plan for Draper using apermanent workforce of 12 employees supplemented by overtime.All demand must be met each period.(a) Show what would happen if this plan were implemented.(b) Calculate the costs associated with this plan.(c) Evaluate the plan in terms of cost, customer service,operations, and human resources.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…
- The planner at a company that makes garden tractors is about to prepare an aggregate production plan that will cover the next 6 months. She has collected the following information: Month Demand Forecast Above the available capacity through permanent workforce 1 1,000 2 1,000 3 2,000 4 3,000 5 4,000 6 1,000 Total: 12,000 Production per month = 20 units per worker Initial inventory = 500 units Desired ending inventory (at the end of month 6) = 0 units Cost: Hire cost = $500 per temporary worker Inventory = $10 per tractor per month Backorder = $150 per tractor per month The optimum aggregate plan is: Month 1 2 3 4 5 6 Total Forecast Demand above regular capacity 1,000 1,000 2,000 3,000 4,000 1,000 12,000 # of temporary workers required 50 50 100 150 200 50 Temp. Workers hired 25 25 50 75 0 0 Temp. workers laid off 0…Develop a level aggregate plan for the Draper Tax Companyif back orders are permitted.(a) Show what would happen if this plan were implemented.(b) Calculate the costs associated with this plan.(c) Evaluate the plan in terms of cost, customer service,operations, and human resources.An urgent care clinic is staffed by two physicians who can each see four patients per hour. The clinic is open 6 p.m. until midnight, seven days per week. The clinic tracked the average number of patients arriving by hour for a month and observed the following:Time Demand6–7 87–8 108–9 109–10 410–11 411–12 2a. Sketch a graph with one line showing capacity and another line showing demand.b. What observations do you make from the graph in part a?c. What suggestions would you make to the clinic for managing its capacity?
- The table below provides the aggregate plan of production by a firm. It is known that the firm uses a chase plan. The firm’s labor cost is $13/unit, hiring cost is $350 per unit of increase, and unit firing cost is $400 per unit of decrease in production. Given this information, what is the number in the cell with the question mark?The president of HiU Enterprises, Terri Hill, projects the firm's aggregate demand requirements over the next 8 monthsas follows: Her operat ions manager is considering a new pla n, whichbegins in January with 200 uni ts on hand . Stockout cost of lostsales is SlOO per unit. Inventory holding cost is $20 per unit permonth. Ignore any idle-time costs. The plan is called plan A.Plan A: Vary the workforce level to execute a strategy that producesthe quantity demanded in the prior month. The Decemberdemand and rate of production are both I ,600 units per month. Thecost of hiring additional workers is $5,000 per I 00 uruts. The cost oflaying oiTworkers is $7,500 per 100 units. Evaluate this plan.When demand for future resources is expected to decrease, the company can start to plan ways to shed the capacity so that it will not be burdened with significant excess capacity in future quarters”. Identify the strategy of capacity to be used by the company. State the reason to choose the strategy. Explain the scenario in the context of Resource Planning. How this will be reflected in Annual Operations plan.