1. Four products are processed sequentially in a manufacturing facility on three machines. The following table gives the pertinent data of the problem Manufacturing time (hr) per unit Machine Cost per hr ($) | Product 1 | Product 2 | Product 3 | Product 4 | Capacity (hr) 1 10 2 3 4 600 3 2 1 400 3 4 7 3 1 300 Selling $/unit 75 70 55 45 (a) Formulate an LP problem for maximizing the profit. (b) Solve the problem using the Simplex method. (c) What are the shadow prices for each machine and their ranges? (d) What are the reduced costs for each product?
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- Well water inc. wants to produce and sell a new flavored water in order topenetrate the market, the product will have to sell at 2.60 per 12 oz bottle thefollowing data has been collected: Annual sales 50,000 bottlesProjected selling and administrative costs 8,000Desired profit 80,000The target cost per bottle is _____ per bottle (2 decimal places)c. Compute and tabulate the daily demand for each month in the table below (round off to the nearest whole number). MONTH PRODUCTION DAYS DEMAND FORECAST DEMAND PER DAY JAN 2022 16 150 ? FEB 2022 16 150 ? MAR 2022 23 250 ? APR 2022 21 250 ? MAY 2022 22 400 ? JUN 2022 22 500 ? JUL 2022 21 600 ? AUG 2022 20 750 ? SEP 2022 20 450 ? OCT 2022 20 250 ? NOV 2022 16 150 ? DEC 2022 16 150 ? TOTAL ? ? d. Assuming that MPQ Limited had adopted a level strategy for the year ended 31 December 2022, compute the average daily demand for the year (round off to the nearest whole number). e. Prepare a graph showing the monthly forecasts and average daily forecast (in units per day) for MPQ Limited.A local factory assembling calculators produces 400 units per month and sells them for P1,842 each. The fixed operating cost per month is P50,825, variable cost is P456 per unit, and other expenses to be P1,152 per unit. A.) How much profit/loss is generated every month if only 50% production capacity is met. B.)How much profit/loss is generated every month at full capacity. C.)If the total cost increased by 9% and the selling price increased by 59%, how much profit/loss will the local factory received each month by producing 50% of its capacity? (Please provide detailed solution not in excell, I'm in rush I will guarantee to vote it up for your effort thank you.)
- 1. Foxie Owl’s Besty Bagel shop makes fresh bagels. She has to buy raw materials fresh every day for selling on that day. She wants to know exactly how much should she spend on raw materials. Foxie did some analysis over the past month and came back with the following numbers: Daily demand was equally likely to be 200, 225, 250, 275, or 300 bagels. What should be the number of bagels on hand to satisfy a Fill Rate requirement of 96%, rounded to next integer value? Group of answer choices 300 275 286 263 2. Suppose that instead of a discrete demand distribution, Foxie’s shop determines that the daily demand for bagels is normally distributed, with a mean of 250 and a standard deviation of 35. Foxie still wants a Fill Rate of 98%. What is the appropriate level of on-hand inventory for Foxie’s shop? Group of answer choices 263 274 257 270Tuff-Rider, Inc., manufactures touring bikes and mountainbikes in a variety of frame sizes, colors, and component com-binations. Identical bicycles are produced in lots of 100. Theprojected demand, lot size, and time standards are shown inthe following table: Item Touring MountainDemand forecast 5,000 units/year 10,000 units/yearLot size 100 units 100 unitsStandard processing time .25 hour/unit .50 hour/unitStandard setup time 2 hours/lot 3 hours/lot The shop currently works 8 hours a day, 5 days a week,50 weeks a year. It operates five workstations, each producingone bicycle in the time shown in the table. The shop main-tains a 15 percent capacity cushion. How many workstationswill be required next year to meet expected demand withoutusing overtime and without decreasing the firm’s currentcapacity cushion?d) Cost of the fifth unit = ? (round your response to the nearaest whole number. (How do I find the calculation for this question?)
- The binary variables in the fixed cost models correspond to: A.) The number of units or products produced. B.) The total profit C.) The amount of labor hours D.) A process for which a fixed cost ovcursPlease do not give solution in image format thanku In 2018, the government of Ghana launched operation one district one factory (IDIE). Based on IDIF, Ekumfi Pineapple Factory Co. Ltd (EPF) was launched. In 2019 the management of ERF started production with 100 workers per shift, each of the three shifts working 8 hours per day. Every working day the payroll cost was GHIC 20,000 and overhead expenses amounted to GHC 5000 and material cost GHC 4000. At the end of the first year, the company produced 1,000,000 boxes of pineapple juice. During the second year, EPF acquired a loan from Exim Bank to purchase a new plant. After the introduction of the new plant, the management reduced the size of its workers per shift to 80, each working 8 hours per day, with the payroll cost reducing to GHC 18,000 and overhead expenses also reducing to GHC 4000 and material cost rising to GHC 6000. Production rose to 1,200,000 boxes. Regard yourself as the Operations Manager of EPF: a) What are the…U-RIDE, Inc. currently produces the electric engines that are used in golf carts made and sold by the Company. Electco has offered to sell the electric engines to U-RIDE at a price of $277 each. Current production information follows: Unit-level material and labor 2$ 230 Facility-level depreciation of manufacturing equip. Product-level engine production supervisor's salary Annual facility-level utilities $ 6,100/month $ 3,100/month $20,500 Buying the engines will free up manufacturing capacity that could be used to make a new economy line golf cart that would produce an additional $11,600 profit per year. U-RIDE is currently operating profitably producing and selling 3,100 engines annually. Based on this information, which of the following is true? Multiple Choice The $111,600 is not relevant because it is an estimate. Buying the units would increase U-RIDE's cost by $35 per unit. of 10
- IIn a job shop, effective capacity is only 69 percent of design capacity, and actual output is 76 percent of effective output. What design capacity would be needed to achieve an actual output of 13 jobs per week? What is its effective capacity? a. The Design Capacity needed to achieve the required actual job outputs =Blank 1 (round to whole number) b. The Effective Capacity needed to achieve the required actual job outputs = Blank 2 (round to whole number) Blank 1 Blank 2 Add your answer Add your answerThe Chineke Group of Company manufactures two products, namely product B and product P, and provides you with the following information: Prod. B Prod. P Selling price per unit 80.00 50.00 Less cost of sales: Direct material A @ R5.00 per kg 15.00 10.00 Direct material B @ R4.00 per kg 8.00 12.00 Direct labour @ R6.00 per hour 12.00 6.00 Variable manufacturing overhead @ R5.00 per labour hour 10.00 5.00 Fixed manufacturing overhead per unit 5.00 5.00 Gross profit 30.00 12.00 Less sales & administrative costs: Variable 6.00 4.00 Fixed 10.00 5.00 Net profit per unit 14.00 3.00 Take note of the following constraints: Material A available 360 kg Material B available 360 kg Labour hours available…2. Four products are processed sequentially on three machines in an aircraft maintenance workshop. The following Table 1 gives the operational data of the problem. Machine 1 2 3 Unit selling price ($) Table 1: Operational data for the problem Manufacturing time (hr) per unit Cost per hr Product Product Product Product $ 1 3 4 10 2 4 2 5 1 2 4 2 1 55 45 37 75 2323 70 Capacity (hr) 500 380 450 (a) Formulate the problem as a Linear Programming (LP) problem (b) Determine the optimal product-mix in the production schedule and the optimal profit