A Company Can Produce a Part It Uses in an Assembly

question 54

Essay

A company can produce a part it uses in an assembly operation at the rate of 50 an hour. The company operates eight hours a day, 300 days a year. Daily usage of the part is 300 parts. The company uses the part every day. The run size is 6,000 parts. The annual holding cost is $2 per unit, and setup cost is $100.
(A) How many runs per year will there be?
(B) While production is occurring, how many parts per day are being added to inventory?
(C) Assuming that production begins when there are no parts on hand, what is the maximum number of parts in inventory?
(D) The machine is dedicated to this product. Every so often, preventive maintenance, which requires six working days, must be performed on it. Does this interrupt production cycles, or is there enough time between cycles to perform the maintenance? Explain.

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Definitions:

Annuity Payment

Regular payments received from an annuity investment over a specified period.

Contract Cost

is the total expense that a company recognizes on its books for a specific contract over its duration, encompassing labor, materials, and overhead.

Deductible IRA Contribution

A contribution to an Individual Retirement Account (IRA) for which the taxpayer can claim a tax deduction, subject to certain conditions and limits.

Pension Plan

A retirement plan funded by employers or employees, or both, paying out a fixed sum to retirees, often based on salary and years of service.