3) Consider the following table for a five machine flow shop problem. Determine the production schedule using the Heuristic P. A В C 1 26 20 22 25 2 35 31 33 26 15 18 23 25 4 31 34 33 44 24 22 23 25
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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.solve for y in part bWhich of the following would be most appropriate basis for apportioning machinery insurance costs to cost centers within a factory? Select one: a. The flor area occupied by the machinery in each cost Centre b. Number of machine in each cost Centre c. The operating hours of each machinery in each cost center d. The value of machinery in each cost center
- 9. The VP of manufacturing for the N. L. Hyer Company is ready to decide on her sales and oper- ations plan for next year. The firm's single product (known throughout the adult puzzle trade as "Hyer's Hexagon") is "red hot," according to the VP of marketing, so she insists that backorders are not acceptable next year. Since the United Puzzlemakers Union is trying to organize the plant, the manufacturing VP decided the number of employees must remain constant (i.e., level) throughout all four quarters. Pertinent information is as follows: Quarter 1 I™ 2 3 Production Days 60 58 61 70 Demand Forecast 12,000 13,000 13,590 9,000 4 Beginning inventory = 1,000 units Regular time output rate = 10 units/day employee a. What daily production rate and number of employees will be required? b. How many units will be in inventory at the end of quarter 4?A manufacturing firm closed down the production of a certain unprofitable product line.This necessitated the rational utilization of released excess production capacity.Management has been contemplating to devote this excess capacity to the manufacture of one or more of the three products A, B and C. The details about available excess machine capacity and machine requirements for the various products are given in I and II.I. Machine Type Available access Machine Time Milling Machine 250 hours / week Lathe 150 hours /week Ginder 50 hours /week II. Machine Type Machine hour requirements per unit of product A B C Milling Machine 8 2 3 Lathe 4 3 0 Ginder 2 0 1 It was assumed that the unit profit would be $20, $6 and$8 respectively, for products A, B and C. i. Formulate the L.P. problemii. Solve the problem by simplex methodProblem 7-37 (Algorithmic) The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. The cheese spreads are packaged in 12-ounce containers, which are then sold to distributors throughout the Northeast. The Regular blend contains 65% mild cheddar and 35% extra sharp, and the Zesty blend contains 75% mild cheddar and extra sharp. This year, a local dairy cooperative offered to provide up to 8100 pounds of mild cheddar cheese for $1.30 per pound and up to 3500 pounds of extra sharp cheddar cheese for $1.50 per pound. The cost to blend and package the cheese spreads, excluding the cost of the cheese, is $0.30 per container. If each container of Regular is sold for $1.80 and each container of Zesty is sold for $2.10, how many containers of Regular and Zesty should New England Cheese produce? Do not round your interim computations. If required, round your answers to the nearest whole number. Let R number of containers of…
- Southern Sporting Goods Company makes basketballs and footballs. Each product is produced from two resources-rubber and leather. The resource requirements for each product and the total resources available are as follows: Product Resource Requirement per Unit Rubber (lb.) Basketball 4 Football 5 Total Resources available 500 lb. 800 ft.2 * Each basketball produced results in a profit of $12, and each football earns $16 in profit. b. Transform this model into standard form Leather (ft.2) 3 2 a. Formulate a linear programming model to determine the number of basketballs and footballs to produce in order to maximize profit.The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor availability, labor utilization, and product profitability: Department A B C 1.00 0.30 0.20 Profit contribution/unit $30.00 Production Labor-Hours Required (a) Develop a linear programming model of the Hartman Company problem. Solve the model to determine the optimal production quantities of products 1 and 2. If required, round your answer to two decimal places. Product 1 Product 2 (hours/unit) Product 1 Product 2 Hours Available OT hours: (b) In computing the profit contribution per unit, management does not deduct labor costs because they are considered fixed for the upcoming planning period. However, suppose that overtime can be scheduled in some of the departments. Which departments would you recommend scheduling for overtime? - Select your answer - What is the upper limit of what you would be willing to pay…Q2 The lower daily needs for workers in a manufacturing organization provided in the below table, each worker works for eight hours, the management needs to determine the lower number of workers to maintain the flow and stability of the work in each shaft. Formulate LP model for this problem and suggest (only suggestion) a method to find the optimal solution Shaft
- HMO has 40 doctors to be apportioned among four clinics. The HMO decides to apportion the doctors based on the average weekly patient load for each clinic, given in the following table. Clinic A B C D Average Weekly 275 392 611 724 Patient Load Find the apportion of A and C using using Adam's Method. Use modified divisor 52. Doctors for clinic A Doctors for clinic B = %3D Doctors for clinic C= Doctors for clinic D =33 White & Becker Tools (W&B) requires 2,000 elec- tric motors next month for its product line of weed trimmers. Each motor is composed of three com- ponents: a coil, a shaft, and housing. W&B has the capability to produce these components or purchase them from an outside vendor. The costs of produc- ing them and purchasing them are shown in the following table. COMPONENT Coil Shaft Housing DEPART- MENT PRODUCTION COST PER UNIT Fabrication 0.5 Molding 0.4 Inspection 0.2 $2.60 $1.80 $1.40 The components that are produced by W&B must pass through three departments: fabrication, molding, and inspection. The number of hours each component requires in each department and the total number of hours available next month in each department are shown in the following table: 0.2 0.7 0.3 PURCHASE COST PER UNIT COIL SHAFT HOUSING AVAILABILITY (HR.) (HR.) (HR.) (HR.) $3.12 $2.16 $1.68 0.6 0.3 0.4 3,000 3,000 1,800 In order to determine the number of components that will be produced and the number…In the past, Peter Kelle's tire dealership in Baton Rouge sold an average of 1,000 radials each year. In the past 2 years, 240 and 240, respectively were sold in fall, 350 and 320 in winter,150 and165 in spring, and 340 and 195 in summer. With a major expansion planned, Kelle projects sales next year to increase to 1,200 radials. Based on next year's projected sales, the demand for each season is going to be (enter your responses as whole numbers): Fall: Winter: Spring: Summer: