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 total cost inventory holding? Select one: a. 19668 O b. 800 O c. None is correct d. 1275 e. 0
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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.Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.
- 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 correctDemand 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. 1629The 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…
- Cotton Island Fashions, a clothing producer, has generated a forecast for the next eightweeks. Demand is expected to be fairly steady, except for periods 3 and 4, which havehigher demands.Month 1 2 3 4 5 6 7 8 TotalForecast 1200 1200 1400 3000 1200 1200 1200 1200 11600The company typically hires seasonal workers to handle the extra workload in periods 3and 4. The cost for hiring and training a seasonal worker is $50 per worker, and thecompany plans to hire two additional workers and train them in period 3, for work in period4, and then lay them off (no cost for layoff). Develop an aggregate plan that uses steadyoutput from regular workers with added output from the two seasonal workers in period 4.The output rate for the seasonal workers is slightly less than that of regular workers, sotheir cost per unit is higher. The cost per unit for regular workers is $4 per unit, while costper unit for the seasonal workers is $5 per unit. Backlog cost is $1 per unit per period.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 thesolutionCampbell’s Wholesale Company is preparing monthly cash budgets for the fourth quarter of theyear. Monthly sales revenue in this quarter is estimated as follows: October, $30,000; November,$24,000; and December, $20,000. All sales are made on open credit with 70% collected in themonth of sale and 30% collected in the following month. What is the estimated total cash collectedin November? December?
- Wine Accessories Inc. (WAI) produces two models of corkscrews, the standard model and a deluxe model. WAI follows a level aggregate plan, producing 20,000 corkscrews per month, or 5000 corkscrews per week. Th e MPS is developed in weekly time periods. Th e forecasts for each model and the projected available are shown in the next two tables. Th e replenishment order quantity is 2000 units for the standard model and 1000 units for the deluxe model. Note that you can place multipleorders if a single order is insuffi cient to cover the forecast (you can produce 4000 units of the standard model if necessary, or 2000 or 3000 units of the deluxe model). Remember that total weekly production is limited to 5000 corkscrews. Develop an MPS for each of the products.A local canning company sells canned vegetables to a supermarket chain in the Minneapolis area. A typical case of canned vegetables requires an average of 0.2 day of labor to produce. The aggregate inventory on hand at the end of June is 800 cases. The demand for the vegetables can be accurately predicted for about 18 months based on orders received by the firm. The predicted demands for the next 18 months are as follows: (given) The firm currently has 25 workers. The cost of hiring and training a new worker is $1,000, and the cost to lay off one worker is $1,500. The firm estimates a cost of $2.80 to store a case of vegetables for a month. They would like to have 1,500 cases in inventory at the end of the 18-month planning horizon. a. Develop a spreadsheet to find a plan that hires and fires workers monthly in order to minimize inventory costs. Determine the total cost of that plan as well.Suzie’s Sweatshirts is a home-based company that makes upscale, hand-painted sweatshirts for children. Forecasts of sales for the next year are Autumn: 125 Winter: 350 Spring: 75 Each Shirt is sold for $15. The holding cost per shirt is 6% of the selling price per quarter. The shirts are painted by part-time workers who earn $4.50 per hour during the autumn. Because of the high demand for part-time help during the winter holiday season, labor rates are higher in the winter, and Suzie must pay the workers $6.00 per hour. In the spring, labor is more difficult to keep, and Suzie finds that she must pay $5.50 per hour to get qualified help. Each shirt takes 1.5 hours to complete. Formulate the problem to a LP model to help Suzie plan production over the three quarters to minimize the combined production and inventory holding cost. Suppose there is no inventory at the beginning of the autumn. (Note: You do not need to solve the model.)