Question

In: Operations Management

A firm is evaluating the alternative of manufacturing a part that is currently being outsourced from...

A firm is evaluating the alternative of manufacturing a part that is currently being outsourced from a supplier. The relevant information is provided below:

For in-house manufacturing:

Annual fixed cost = $75,000
Variable cost per part = $140

For purchasing from supplier:

Purchase price per part = $150

Using this information, find the best decision if the demand is 6,500 parts. Round your answers to the nearest dollar.

Total cost of production: $   
Total cost of outsourcing: $  

The best decision is to -Select-manufacture in-houseoutsourceItem 3 .

Determine the break-even quantity at which the firm would be indifferent between manufacturing the part in-house or outsourcing it. Round your answer to the nearest whole number.

parts=_______?

Solutions

Expert Solution

For-Manufacturing

Annual Fixed Cost

$75,000

Variable cost per unit

$140

No. of units

6,500

Total Cost of Production

$985,000

For-Outsourcing

Purchase price per unit

$150

No. of units

6,500

Total Cost of Outsourcing

$975,000

The best decision is to -Select outsource

For BEQ (break-even quantity)

Working Formula =

Total-Cost of Outsourcing – Cost-Per Unit of Manufacturing * X = 0 (* = multiply operation)

Calculation of Cost-Per Unit of Manufacturing

= (Total Cost of Production) /6,500

= $151.54

Putting all the value in working formula, we get,

$975,000 - $151.54 * X = 0 [Here, X = Parts]

Or

$975,000 = $151.54 * X

After solving above equation we, get

X = 6434.01

Parts = 6434


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