A local firm manufactures children's toys. The project demand over the next four months for one...

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Mechanical Engineering

A local firm manufactures children's toys. The project demandover the next four months for one particular model of toy robotis
Month Workdays Forecasted Demand
July 23 3825
August 16 7245
September 20 2770
October 22 4440
Assume that a normal workday is 8 hours. Hiring cost are $350per worker and firing cost (including severance) are 850 perworker. Holding cost are $4 per aggergate unit held per month.Assume that it requires an average of 1 hour and 40 minutes for oneworker to assemble one toy. Shortages are not permitted. Assimethat the ending inventory for June was 600 of these toys and themangager wishes to have at least 800 units on hand at the end ofOctober. Assume that the current workforce level is 35 workers.Find the optimal plan by formulating as a linearprogram.Â Â

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4.2 Ratings (570 Votes)

Since there is 600 units ending inventory in June the demand for July will be reduced to be 3825 600 3225 units By the same way the demand for October will be increased to be 4440 800 5240 units This is based on a First In First Out policy Month Demand Days Unitsworkrmo Cumulative Unitsworkr Cumulative Demand Worker Req July 3225 23 1104 1104 3225 30 August 7245 16 768 1872 10470 56 Sept 2770 20 96 2832 13240 47 Oct 5240 22 1056 3888 18480 48 Note 1 To calculate the number of units produced per worker for a particular month column 4 we first See Answer

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Month	Workdays	Forecasted Demand
July	23	3825
August	16	7245
September	20	2770
October	22	4440