A company produces three products A,B, and C. The products are processed through three machines as follows Product Annual demand Standard Time on m/c 1 Standard Time on m/c 2 Standard Time on m/c 3 A 600 5 -- 8 B 350 8 2 -- C 1000 1 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

A company produces three products A,B, and C. The products are processed through three machines as follows Product Annual demand Standard Time on m/c 1 Standard Time on m/c 2 Standard Time on m/c 3 A 600 5 -- 8 B 350 8 2 -- C 1000 1 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

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 54P

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A company makes two products (A and B). Each product requires time on two machines 1 and 2. the specifications for each product are as follows Product A Product B Processing time on machine 1 (hrs/unit) Processing time on machine 2 (hrs/unit) Material and labor cost (Sh./ unit) Selling price (Sh./ unit) Maximum possible sale (units) 2 1 2 14 15 16 18 130 150 The amount of time available on machine 1 is 360 hrs and on machine 2 is 260 hrs. Using simplex method determine the number of product A and B, which should be sold in order to maximize total contribution for the company.
During an eight-hour shift, 750 non-defective parts are desired as a result of a manufacturing operation. The default operation time is 15 minutes. As the operators of machine are inexperienced, the actual time they take to perform the operation is 20 minutes, and, on average, a fifth of the parts that start to be manufactured are lost. Assuming that each one of the machines used in this operation will not be available for one hour in each shift, determine the number of machines needed.
A machine tool company conducts a job-training programme at a ratio of one for everyten trainees. The training programme lasts for one month. From past experience it has been found thatout of 10 trainees hired, only seven complete the programme successfully. (The unsuccessful traineesare released). Trained machinists are also needed for machining. The company's requirement for thenext three months is as follows:January: 100 machinists, February: 150 machinists and March: 200 machinists.In addition, the company requires 250 trained machinists by April. There are 130 trained machinistsavailable at the beginning of the year. Pay roll cost per month is:Each trainee Rs. 400/- per month.Each trained machinist (machining or teaching): Rs. 700/- p.m.Each trained machinist who is idle: Rs.500/- p.m.(Labour union forbids ousting trained machinists). Build a l.p.p. for produce the minimum costhiring and training schedule and meet the company’s requirement.
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A bank is trying to determine which of two machinesshould be rented to process checks. Machine 1 rents for$10,000 per year and processes 1,000 checks per hour.Machine 2 rents for $15,000 per year and processes 1,600checks per hour. Assume that the machines work 8 hours aday, 5 days a week, 50 weeks a year. The bank must processan average of 800 checks per hour, and the average checkprocessed is for $100. Assume an annual interest rate of20%. Then determine the cost to the bank (in lost interest)for each hour that a check spends waiting for and undergoingprocessing. Assuming that interarrival times and servicetimes are exponential, which machine should the bank rent?
There is an upstream Picking department that feeds two downstream Packing departments: Pack Singles and Pack Multis. Those Packing departments feed to a Shipping department that loads the outgoing trucks. 40% of your Pick volume goes to Pack Singles and has a packing rate of 104 units per labor hour (uph). 60% of the Pick volume goes to Pack Multis and has a pack rate of 215 units per labor hour. Your pickers pick both Single and Multi items throughout the day at an overall average rate of 114 units per labor hour. All units that are packed in both processes go through the Ship process at a rate of 570 units per hour. You have 102 people today for all 4 departments and you absolutely must pack 47,880 units in Pack Multis Items to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer. Redirect 1: You now need to process all of the Pack Singles Volume in the first 5…
Larry Ellison starts a company that manufactures high-end custom leather bags. He hires two employees. Each employee only begins working on a bag when a customer order has been received and then she makes the bag from beginning to end. The average production time of a bag is 1.7 days, with a standard deviation of 3 days. Larry expects to receive one customer order per day on average. The interarrival times of orders have a coefficient of variation of one. X Answer Is complete but not entirely correct. (Carry at least 4 decimal places in all intermediate calculations. Round your final answer to 2 decimal places.) What is the expected duration, in days, between when an order is received and when production begins on the bag? 30.39 8 days
A company produces motor cycle seats. The company has two production lines. The production rate for line one is 50 seats per hour and for line two it is 60 seats per hour. The company has entered into a contract to supply1200 seats daily to another company. Currently, the normal operation period for each line is 8 hours. The production manager 4 | P a g eof the company is trying to determine the best daily operation hours for the two lines. He sets the priorities to achieve his goals as given below:- P1: produce and deliver 1200 seats daily- P2: limit the daily overtime operation hours of line one to 3 hours- P3: Limit the daily overtime operation hours of line two to 4 hours Formulate the problem as a GP model and then solve it by using graphical method