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Item X is a standard item stocked In a company\'s inventory of component parts.

ID: 2746675 • Letter: I

Question

Item X is a standard item stocked In a company's inventory of component parts. Each year the firm. on a random basis, uses about 1,600 of item X. which costs $25 each Storage costs, which include insurance and cost of capital, amount to $8 per unit of average inventory Every time an order is placed for more item X, It costs $16. Whenever item X is ordered, what should the order size be? (Round your answer to the nearest whole number.) What is the annual cost for ordering item X? (Round your answer to 2 decimal places.) What is Che annual cost for storing item X? (Round your answer to 2 decimal places.)

Explanation / Answer

D=1600 units per year

C=$25 per unit

H=$8 per unit per year

S=$16 per order

A=whenever item X is ordered, what should the order size be?

=2(1600)(16)/8

=71 units

B=what is the annual cost for ordering item X?

Annual ordering cost = Q D S = (1600)(16)/71 = $360.56

C=What is the annual cost for storing item X?

Annual holding cost

=(71)(8)/2

=$284

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