Compute optimal order quantity and annual purchase cost


Assignment Task: Supply Chain Management

Solve inventory management calculation. Need an answer to this question in a complete formula.

Question 1: Icy Snowmobile, Inc., has an annual demand for 1,200 snowmobiles. Their purchase cost for each snowmobile is $2,500. It costs about $250 to place an order, and the holding rate is 35 percent of the unit cost. Compute the (a) EOQ, (b) annual holding cost, (c) annual order cost, and (d) total annual inventory cost.

Question 2: Steamy Speedboats has an annual demand for 1,500 speedboats. Its supplier offers quantity discounts to promote larger order quantities. The cost to place an order is $300, and the holding rate is 32 percent of the purchase cost. The purchase cost for each speedboat is based on the price schedule given below. Compute the (a) optimal order quantity, (b) annual purchase cost, (c) annual holding cost, (d) annual order cost, and (e) total annual inventory cost.

ORDER QUANTITY

PRICE PER UNIT

Jan-50

$18,500

51-100

$18,000

101-150

$17,400

151 and above

$16,800

Question 3: Using the Steamy Speedboats problem above, assume that the order cost has dropped from $300 to $50. What are the (a) optimal order quantity, (b) annual purchase cost, (c) annual holding cost, (d) annual order cost, and (e) total annual inventory cost?

Question 4: Using the Steamy Speedboats problem above, assume that the holding rate has dropped from 32 percent to 15 percent. What are the (a) optimal order quantity, (b) annual purchase cost, (c) annual holding cost, (d) annual order cost, and (e) total annual inventory cost?

Question 5: Frankfurt Electronics produces a component internally using a state-of-the-art technology. The operations manager wants to determine the optimal lot size to ensure that the total annual inventory cost is minimized. The daily production rate for the component is 500 units, annual demand is 36,000 units, setup cost is $150 per setup, and the annual holding rate is 30 percent. The manager estimates that the total cost of a finished component is $80. If we assume that the plant operates year-round, and there are 360 days per year, what are the (a) daily demand, (b) optimal lot size, (c) highest inventory, (d) annual product cost, (e) annual holding cost, (f) annual setup cost, (g) total annual inventory cost, (h) length of a production period, (i) length of each inventory cycle, (j) rate of inventory buildup during the production cycle, and (k) the number of inventory cycles per year? Plot the movement of the inventory during one production cycle using time on the horizontal axis and on-hand inventory on the vertical axis.

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Supply Chain Management: Compute optimal order quantity and annual purchase cost
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