Bags & Box Cereals produces two types of cereals: basic and premium. Each type is sold in box of 100 grams and bags of 200 grams. The company has 4 machines that can package 200,000 boxes, and each machine requires three operators. The company has 5 machines that can package 150,000 bags, and each machine requires four operators. The table below shows the forecasted demand for the next four years. 3 Вох 100g 50000 Bag 200g Вох 100g Bag 200g 70000 100000 120000 Cereal Basic 45000 60000 80000 100000 Cereal 40000 50000 60000 70000 Premium 35000 40000 45000 50000 What is the machine requirement for production of boxes in year 4?
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Given Information:
About box of 100 grams
4 machines can package 200,000 boxes
which means that,
About bag of 200 grams
5 machines can package 150,000 bags
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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.A manufacturing company produces single item product. Theproduction manager decide to arrange 6 periods for MPS. Data aboutdemand forecasts are 112, 157, 126, 176, 124 and 181 while data aboutcustomer orders are 128, 156, 196, 147, 152 and 175. On hand inventoryis 300 units and production batch is 300 units. The productionmanager also decide that 3 beginning periods are critical, so that nochanges are allowed. Arrange MPS for that situation ! When system’s bottleneck requires 10 minutes to finish a unit product,make analysis about capacity. What is your suggestion? please explain it using excel or attached the excel sheetA company blends and bottles an energy drink in various flavors for college students. The aggregate forecast for the next four quarters (1 year) in thousands of gallons is as follows: Quarter Demand forecast per 1000 gallons 1 4002 7003 8504 650Each employee works 550 standard straight-time hours each quarter. On average, it takes 27 hours to produce and package 1 unit (1,000 gallons). Straight-time labor costs $6.00/hour; overtime labor costs $9.00/hour. Inventory holding cost is approximately $4.50/unit (1,000 gallons) per quarter, based on ending inventory per quarter. Due to the extremely hot weather, there is no initial inventory on hand to start the first quarter. Management wants a constant workforce (no hiring and no layoffs). Managers have also decided to always round the number of employees needed to the next integer, i.e., 37.2 yields 38 employees. Using a level strategy program, what will the annual labor cost be if only 30 employees are available and overtime is used?
- City Sod is a small business that sells and lays sod (rolled strips of grass). The owner has devised a forecasting procedure based on demand history from previous years plus projection of demand in recent weeks. The forecast for the next six weeks, in labor hours of sod laying, is 850 870 950 910 970 870 CmTently, City Sod has a staff of sod layers consisting of five crew chiefs and 15 laborers. A crew chief lays sod along with the laborers, but also directs the crew. The owner has decided on the following staffing policies: A two-week backlog will be accmnulated before adding staff. Plans are based on a 40 hour work week; overtime is used only to absorb weather or other delays and employee absence or resignations. The ideal crew size is one crew chief and four laborers. Devise a hiring plan for the first three weeks. In your answer, assmne a current backlog of 1,480 labor hours of sod-laying orders. Does City Sod follow a chase-demand or level-capacity strategy of…Thinking tools service assembles customized personal computers from generic parts. Formed and operated by part-time Svci students paulette cruz and maureen luis, the company has had steady growth since it started. The company assembles computers mostly at night, using part time students. Paulette and Maureen purchase generic computer parts in volume at a discount from a variety of sources whenever they see a good deal. Thus, they need a good forecast of demand for their computers so that they will know how many parts to purchase and stock. They have compiled demand data for the last 12 months as reported below A. Use exponential smoothing with smoothing parameter a=0.2 to compute the demand forecast for january (period 13) B. Use exponential smoothing with smoothing parameter a=0.5 to compute the demand forecast for january (period 13). C. Paulette believes that there is an upward trend in the demand, the initial forecast is 37 and the trend over this period is 0 units. Use…A barge company moves CoB freight between Memphis and New Orleans. Each barge tow is limited to 15 barges. The round trip takes 6 days. Forecasts call for 37 round trip tows per month. How many towboats does the company need to satisfy this demand? (Assume a month is 30 days.)
- LPM Corp. produces and sells two types of frozen burgers, Turkey Burgers and Veggie Burgers. In the most recent month, the firm sold 12,000 Turkey Burgers and 8,000 Veggie Burgers. Turkey Burgers sold for $14.00 per box and variable costs were $7.40 per box. The Veggie Burgers sold for $16.00 per box and variable costs were $8.25 per box. The fixed expenses of the entire company were $41,160. If the sales mix were to shift toward the Turkey Burgers product line with total sales volume remaining constant at 20,000, the overall break-even point for the entire company:At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a minimum cost flow problem by showing the…At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i B 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a shortest-path problem by drawing a…
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