Demand for a product is forecasted for the six periods is 263, 256, 301, 312, 304, and 294 respectively. If a CHASE DEMAND strategy is adopted, and the regular production cost is RO 12 per unit with a maximum regular production of 280 units per period. While, the overtime and subcontract costs are RO 20 and RO 25 per unit respectively. There is no limit on subcontracting; however, maximum overtime production capacity is 10. Average inventory holding cost is RO 5 per unit per period. How many units in total are subcontracted?
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- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.The Donald Fertilizer Company produces industrial chemi-cal fertilizers. The projected manufacturing requirements (inthousands of gallons) for the next four quarters are 90, 60,90, and 140, respectively. A level workforce is desired, relyingonly on anticipation inventory as a supply option. Stock-outs and backorders are to be avoided, as are overtime andundertime.a. Determine the quarterly production rate required to meettotal demand for the year, and minimize the anticipationinventory that would be left over at the end of the year.Beginning inventory is 0.b. Specify the anticipation inventory that will be produced.c. Suppose that the requirements for the next four quartersare revised to 60, 90, 140, and 90, respectively. If total de-mand is the same, what level of production rate is needednow, using the same strategy as part (a)?Northwest Pipe (NP) makes water pipe. NP is planningproduction for the next seven months, March through September.Th e forecast demands (in thousands of feet) are, respectively, 40,60, 70, 80, 90, 100, and 80. NP can make 75,000 feet of pipe permonth using regular-time production, at a cost of $1.25 per foot.Th ey can make up to an additional 15,000 feet using overtimeproduction at a cost of $1.50 per foot. Any pipe made in onemonth and sold in a later month incurs an inventory holding costof $0.15 per foot, per month. NP expects to end February with5000 feet of pipe and would like to plan to end September with10,000 feet in inventory. NP would like to plan their productionschedule to minimize total cost during the next seven months. (a) Formulate an LP to minimize total costs.(b) Set up and solve the problem on a spreadsheet.(c) What is the optimal solution? Explain the rationale for thesolution
- Demand for a product is forecasted for the six periods is 263, 256, 301, 312, 304, and 294 respectively. If a CHASE DEMAND strategy is adopted, and the regular production cost is RO 12 per unit with a maximum regular production of 280 units per period. While, the overtime and subcontract costs are RO 20 and RO 25 per unit respectively. There is no limit on subcontracting however, maximum overtime production capacity is 10. Average inventory holding cost is RO 5 per unit per period. What will be the tatal cost of subrontracting the production? Select one: O a 12/5 O b. 19668 O C. RO0 Odo O e. None is correctThe Yeasty Brewing Company Produces a popular local beer known as Iron Stomach. Beer sales are somewhat seasonal, and Yeasty is planning its production and workforce levels on March 31 for the next six months. The demand forecasts are as follows: month production days demand(in hundred of cases) April 14 75 May 20 100 June 24 200 July 26 140 August 20 100 September 18 50 As of March 31, Yeasty had 70 workers on the payroll. Over a period of 20 working days when there are 100 workers on the pay roll, Yeasty produced 10,000 cases of beer. The cost to hire each worker is $200 and the cost of laying off each worker is $400. Holding costs amount to 1 dollar per case per month. As of March 31, Yeasty expects to have 3,000 cases of beer in stock. It plans to start October with 3,500 cases on hand. a) Formulate the problem of planning Yeasty’s production levels as a linear program. b) Use Excel solver to solve the problem and give the solution (decision variables and…. Gerald Glynn manages the Michaels Distribution Center.After careful examination of his database information, hehas determined the daily requirements for part-time loadingdock personnel. The distribution center operates 7 days aweek, and the daily part-time staffing requirements are Find the minimum number of workers Glynn must hire. Pre-pare a workforce schedule for these individuals so that eachwill have two consecutive days off per week and all staffingrequirements will be satisfied. Give preference to the S–Supair in case of a tie.
- A plant operation has fixed cost of $2,000,000 per year, and its output capacity is 100,000 electrical appliances per year. The variable cost is $70 per unit, and the product sells for $120 per unit. a) What is the annual break even volume of this product? b) Compare annual profit when the plant is operating at 90% capacity with the plant operation at 100% capacity. Assume that the first 90% of capacity output is sold at $120 per unit and that the remaining 10% of production is sold at $100 per unit. Show handwritten solutionsDemand for a product is forecasted for the six periods is 263, 256, 301, 312, 304, and 294 respectively. If a CHASE DEMAND strategy is adopted, and the regular production cost is RO 12 per unit with a maximum regular production of 280 units per period. While, the overtime and subcontract costs are RO 20 and RO 25 per unit respectively, There is no limit on subcontracting: however, maximum overtime production capacity is 10. Average inventory holding cost is RO 5 per unit per period. How many units in total are held as inventory? Select one Oa 40 Ob 51 Oco Od None is correct Oe. 1629You have been asked to estimate the cost of 100 prefabricated structures to be sold to a local school district. Each structure provides 1,000 square feet offloor space, with 8-feet ceilings. In 1999, you produced 70 similar structures consistingof the same materials and having the same ceiling height, but each provided only 800square feet of floor space. The material cost for each structure was $25,000 in 1999, andthe cost capacity factor is 0.65. The cost index values for 1999 and 2006 are 200 and 289,respectively. The estimated manufacturing cost for the first 1,000-square-foot structureis $12,000. Assume a learning curve of 88% and use the cost of the 50th structure asyour standard time for estimating manufacturing cost. Estimate the total material costand the total manufacturing cost for the 100 prefabricated structures.
- The Chewy Candy Company would like to determine an aggregate production plan for the next six months. The company makes many different types of candy but feels it can plan its total production in pounds provided that the mix of candy sold does not change too drastically. At the present time, the Chewy Company has 70 workers and 9000 pounds of candy in inventory. Each worker can produce 100 pounds of candy a month and is paid $19 an hour (use 160 hours of regular time per month). Overtime, at a pay rate of 150 percent of regular time, can be used up to a maximum of 20 percent in addition to regular time in any month. It costs 80 cents to store a pound of candy for a year, $1,200 to hire a worker, and $1,500 to lay off a worker. The forecast sales for the next six months are 8000, 10,000, 12,000, 8000, 6000, and 5000 pounds of candy. a.Determine the costs of a level production strategy for the next six months, with an ending inventory of 8000 pounds. b.Determine the costs of a chase…The Chewy Candy Company would like to determine an aggregate production plan for the next six months. The company makes many different types of candy but feels it can plan its total production in pounds provided that the mix of candy sold does not change too drastically. At the present time, the Chewy Company has 70 workers and 9000 pounds of candy in inventory. Each worker can produce 100 pounds of candy a month and is paid $19 an hour (use 160 hours of regular time per month). Overtime, at a pay rate of 150 percent of regular time, can be used up to a maximum of 20 percent in addition to regular time in any month. It costs 80 cents to store a pound of candy for a year, $1,200 to hire a worker, and $1,500 to lay off a worker. The forecast sales for the next six months are 8000, 10,000, 12,000, 8000, 6000, and 5000 pounds of candy.a. Determine the costs of a level production strategy for the next six months, with an ending inventory of 8000 pounds.b. Determine the costs of a chase…A company that manufactures paving material for driveways and parking lots expects the following demand for its product for the next four weeks.Week number 1 2 3 4Material (tons) 40 80 60 70The company’s labor and machine standards and available capacities are as follows.Labor MachineProduction standard (hours per ton) 4 3Weekly production capacity (hours) 300 200 a. Determine the capacity utilization for labor and machine for each of the four weeks.b. In which weeks do you foresee a problem? What options would you suggest to resolve anyproblems? What costs are relevant in making a decision on choosing an option?