A firm has an annual demand of S units for a good whose purchase cost is £c per unit. Each order costs £a to place, and the cost of holding stock is b% of the average value of stock per annum. Determine the optimal order quantity. A local firm uses 2000 units of a particular component each year. The component has a purchase price of £4/unit, while the cost of holding stock is estimated at 20% of the average stock value. If the cost of placing each order is £12.50, find the optimal number of orders placed each year. Suppose the component supplier offers a discount of 2% on the purchase price if orders are placed in units of 1000. Is the discount worth accepting? Suppose that instead of a single figure you had been given a probability distribution for the number of units used each year. Indicate the effect on stock policy.. Please explain fully , the last part is also important to solve

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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A firm has an annual demand of S units for a good whose purchase cost is £c per unit. Each order costs £a to place, and the cost of holding stock is b% of the average value of stock per annum. Determine the optimal order quantity. A local firm uses 2000 units of a particular component each year. The component has a purchase price of £4/unit, while the cost of holding stock is estimated at 20% of the average stock value. If the cost of placing each order is £12.50, find the optimal number of orders placed each year. Suppose the component supplier offers a discount of 2% on the purchase price if orders are placed in units of 1000. Is the discount worth accepting? Suppose that instead of a single figure you had been given a probability distribution for the number of units used each year. Indicate the effect on stock policy..

Please explain fully , the last part is also important to solve.

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