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Scilla [17]
3 years ago
15

A production facility is trying to determine the best batch size for an item that is produced intermittently. This item has an a

nnual demand of 1,000 units, an annual carrying cost of $10 per unit, and a setup cost of $400. They operate 50 weeks per year, and can produce 40 units per week. What is the best batch size for this item?
Business
1 answer:
Alinara [238K]3 years ago
7 0

Answer:

The best batch size for this item is 400 units.

Explanation:

As given Annual demand (D)=1000 units, Carrying cost (H)=$10 per unit, set up cost (S)=$400.

As per the production order model formula will be:

\sqrt{2}D*S/H[1-d/p]} .

d for week=1000/50

                 =20. p per day

                 =40 units/7 days.

                 =5.71

d per day = 20/7

                =2.85

Therefore on applying all these:\sqrt{}2*1000*400/10[1-2.85/5.7.

on solving this we will get 400 Units

Therefore, The best batch size for this item is 400 units.

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The total cost applied to the job is $87,500 when the direct materials are $50,000, the cost of direct labor is $25,000 and the overhead cost is 50 % of direct labor.

<h3>What is meant by total cost?</h3>

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Given values:

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Computation of total job cost:

\rm Total \rm\ Job \rm\ Cost=\rm\ Cost \rm\ of \rm\ Direct \rm\ Materials+\rm\ Cost \rm\ of \rm\ Direct \rm\ Labor+\rm\ Cost \rm\ of \rm\ Overheads\\\rm Total \rm\ Job \rm\ Cost=\$50,000 + \$25,000 + \$12,500\\\rm Total \rm\ Job \rm\ Cost=\$87,500

Therefore, when the direct materials are $50,000, the direct labor is $25,000 and the overhead cost is $12,500, then the total cost of the job is $87,500.

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1 year ago
The liberty of man in society is to be under no other legislative power but that established by consent in the commonwealth.
OverLord2011 [107]

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