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1) The Kaneohe Trading Company makes a fastener that they use in another process

ID: 376565 • Letter: 1

Question

1) The Kaneohe Trading Company makes a fastener that they use in another process. The firm operates 263 days per year and uses the fasteners at a fairly steady rate of 230 per day. Fasteners can be produced at a rate of 800 per day. Annual storage costs is $3.90 per fastener and setup cost to produce more fasteners is $135.

What is the economic run quantity?

Your Answer:

2)

The Kaneohe Trading Company makes a fastener that they use in another process. The firm operates 309 days per year and uses the fasteners at a fairly steady rate of 107 per day. Fasteners can be produced at a rate of 730 per day. Annual storage costs is $1.80 per fastener and setup cost to produce more fasteners is $90.

What is the maximum inventory level?

Your Answer:

Explanation / Answer

This will be solved using Economic Production Quantity ( EPQ ) model.

EPQ = Square root ( 2 x Cs x D / Ch x ( 1 – d/p) )

Where ,

D = Annual demand for Kaneohe Trading Company = 230/ day x 263 days = 60490

Ch = Annual unit storage cost = $ 3.9

Cs = annual unit set up cost = $135

Daily demand of fasteners = d = 230 per day

Daily production rate = p = 800

Hence , EPQ = Square root ( 2 x 135 x 60490 / 3.9 x ( 1 – 230/800 ) ) = Square root (16332300 / 3.9 x 0.7125) = 2424.37 ( 2424 rounded to nearest whole number )

Hence, economic production quantity = 2424

Maximum Inventory Level = EPQ x ( 1 – d/ p) = 2424 x ( 1 – 230/800) = 2424 x 0.7125 = 1727 ( rounded to whole number )

ECONOMIC RUN QUANTITY = 2424

MAXIMUM INVENTORY LEVEL = 1727

ECONOMIC RUN QUANTITY = 2424

MAXIMUM INVENTORY LEVEL = 1727