A manufacturing firm has discontinued production of a certain unprofitable product line. This created considerable excess production capacity. Management is considering to devote this excess capacity to one or more of three product 1,2 and 3. The available capacity on the machines which might limit output are given below: Machine type Available time (in machine hours per week) Milling 250 machine Lathe 150 Grinder 50 The number of machine hours required for each units of the respective product is given below; Machine type Productivity (in machine hours/unit) Product 1 Product 2 Product 3 Milling 8 2 3 Lathe 4 3 0 Grinder 2 0 1 The unit profit would be 20 birr, 6 birr and 8 birr for products 1,2 and 3. Find how much of each product the firm should produce in order to maximise profit ? Solve the problem by simplex method

A manufacturing firm has discontinued production of a certain unprofitable product line. This created considerable excess production capacity. Management is considering to devote this excess capacity to one or more of three product 1,2 and 3. The available capacity on the machines which might limit output are given below: Machine type Available time (in machine hours per week) Milling 250 machine Lathe 150 Grinder 50 The number of machine hours required for each units of the respective product is given below; Machine type Productivity (in machine hours/unit) Product 1 Product 2 Product 3 Milling 8 2 3 Lathe 4 3 0 Grinder 2 0 1 The unit profit would be 20 birr, 6 birr and 8 birr for products 1,2 and 3. Find how much of each product the firm should produce in order to maximise profit ? Solve the problem by simplex method

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 111P

See similar textbooks

Similar questions

er A product line includes 8 different product styles, each consisting of 93 components. Assume that 9 processing operations are needed to produce each component on average with each operation taking an average 1.2 min, which includes setup time and part handling time. All operations need a production machine, and currently 25 machines are dedicated to this task. The plant operates 52 hours per week, 52 weeks a year. Determine the yearly production of each style in units (round downward). 63 504
A department works on 8 hours shift, 288 days a year and has the usage data of a machine, as given below: Processing time (Standard time in hours) Annual Demand Product (units) A 325 5 B 450 4 550 6 Calculate: (a) Processing time needed in hours to produce products A, B and C (b) Annual production capacity of one machine in standard hours (c) Number of machines required
A company produces three products A,B, and C. The products are processed through three machines as follows Standard Standard Standard ProductAnnual demand Time on m/c 1Time on m/c 2Time on m/c 3 A 600 15 350 2 1000 12 10 If there are 250 working days per year and the company plans to work one seven hours shift per day, then compute the number of machines required. B.
A department works on 8 hours shift, 250 days a year and has the usage data of a machine, as given below: Product Annual demand (units) Processing time (standard time in hours) 300 4.0 Y 400 6.0 500 3.0 Determine the number of machines required.
QuestionByron Sports is a manufacturer of sportswear. It produces all of its products in one department using a process costing system.The information for the current month is as follows:Beginning work in process (30% complete as to conversion cost) 12,000 unitsUnits started 90,000 unitsUnits completed and transferred out ?Ending work in process (70% complete as to conversion) 8,000 unitsCosts:Beginning work-in-process direct materials $28,800Beginning work-in-process conversion $5,040Direct materials added during month $216,000Conversion costs incurred during the month $139,200Direct materials are added at the beginning of the process. Conversion costs are incurred uniformlythroughout the production process. Costing is handled on a FIFO basis Required:a. Prepare a production cost worksheet using 5 steps approach.b. Under what conditions would a process costing system be more appropriate than a job order costing system? Explain.
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 answer
Jefferson Company’s demand for its only product exceeds its manufacturing capacity. The company provided the following information for the machine whose limited capacity is prohibiting the company from producing and selling additional units. Actual run time this week 6,106 minutes Machine time available per week 8,600 minutes Actual run rate this week 4.32 units per minute Ideal run rate 6.00 units per minute Defect-free output this week 11,315 units Total output this week (including defects) 15,500 units 1. Compute the utilization rate.2. Compute the efficiency rate. 3. Compute the quality rate. 4. Compute the overall equipment effectiveness (OEE).
An operation process consisting of 6 operations has the following waste detected in each of them. Determine the production volume that should be considered to cover the final volume of 5,000 per month. Calculate:1.- Quantity of production volume to be produced considering its SCRAP 2.- Quantity of production volume to be made per work shift, considering that the company works 20 days of the month with 3 shifts per day. 3.- Amount of monthly production volume that enter the operation 4. OP % SCRAP 1 .05% 2 .03% 3 .01% 4 .006% 5 .1% 6 .12%
Geoffrey owns a small shop that sells cups of frozen yogurt in the university. Geoffrey owns three frozen-yogurt machines. His other inputs are refrigerators, frozen-yogurt mix, cups, sprinkle toppings, and, of course, workers. He estimates that his daily production function when he varies the number of workers employed (and at the same time, of course, yogurt mix, cups, and so on) is as shown in the accompanying table. i What are the fixed inputs and variable inputs in the production of cups of frozen yogurt? ii. Draw the total product curve for Geoffrey’s yoghurt shop iii. Compute the marginal product for Geoffrey’s workers
As an analyst, we would like to perform a work sampling study on an assembly line. The jobs can bedifferentiated on the basis of the product size: A, B, and C. We perform a study over a five-week periodthat equals to 200 working hours. There are 12 workers to be examined. In total, we perform 1140observations. Yet, the worker absences lead to 15 worker-day deduction from the total working hourswhere workers work 8 hour each day. The study results are tabulated below. Q: What is the mean assembly time per product unit for size C in terms of hour?a) 0,1136b) 0,0251c) 0,3015d) 0,7537e) 0,0661
A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. Labor-Hours per Ski Maximum Labor-Hours Department Fabricating Finishing Trick Ski Slalom Ski Available per Day 9. 432 63 If the profit on a trick ski is $30 and the profit on a slalom ski is $50, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum profit is $ The maximum occurs when trick skis and slalom skis are produced.
4. The Spencer Optics Company produces an inexpensive line of sunglasses. The manufacturing process consists of assembling two plastic lenses (produced by the firm's plastic molding depart- ment) into a finished frame (purchased from an outside supplier). The company is interested in using material requirements planning to schedule its operations and has asked you to prepare an example to illustrate the technique. The firm's sales manager has prepared a 10-week sales forecast for one of the more popular sunglasses (the Classic model) for your example. The forecast is 100 units per week. Spencer has customer orders of 110 units, 80 units, 50 units, and 20 units in weeks 1, 2, 3, and 4, respectively. The sunglasses are assembled in batches of 300 units. Presently, three such batches are sched- uled: one in week 2, one in week 5, and one in week 8. Complete the following time-phased record: Week hand 1 2 3 4 5 6 7 8 9 10 Classic Model On MPS Record Forecast Orders Projected available…