Question

A supplier for St. LeRoy Hospital has introduced quantity discounts to encourage larger order quantities of a special catheter. The price schedule is Order quantity Price per unit 0 to 299 $60.00 300 to 499 $58.80 500 more $57.00 The hospital estimates that its annual demand for this item is 936 units, its ordering cost is $45.00 per order, and its annual holding cost is 25 percent of the catheter’s unit price. What quantity of this catheter should the hospital order to minimize total costs?

          A supplier for St. LeRoy Hospital has introduced quantity discounts to encourage larger order quantities of a special catheter. The price schedule is
Order quantity
Price per unit
0 to 299
$60.00
300 to 499
$58.80
500 more
$57.00
The hospital estimates that its annual demand for this item is 936 units, its ordering cost is $45.00 per order, and its annual holding cost is 25 percent of the catheter’s unit price. What quantity of this catheter should the hospital order to minimize total costs?
        
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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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A supplier for St. LeRoy Hospital has introduced quantity discounts to encourage larger order quantities of a special catheter. The price schedule is Order quantity Price per unit 0 to 299 $60.00 300 to 499 $58.80 500 more $57.00 The hospital estimates that its annual demand for this item is 936 units, its ordering cost is $45.00 per order, and its annual holding cost is 25 percent of the catheter’s unit price. What quantity of this catheter should the hospital order to minimize total costs?
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Transcript

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00:01 Alright, so here the question is that sharp incorporation, a company that markets painless hypodermic needles to hospitals, would like to reduce the inventory cost by determining the optimal number of needles to obtain per order.
00:15 So the annual demand here, annual demand is 1 ,000 units and the ordering cost.
00:29 This is $10 per order.
00:32 So the holding cost per unit per year is 0 .50 dollars right so this is the holding cost per unit per year so this is equal to 0 .50 right so what is the total cost okay so in this case the economic order quantity or the eoq this will be equal to square root of 2 into the demand into the ordering cost divided by the holding cost.
01:14 So this is equal to square root of this is 2 into 1 ,000 into 10 .5 which is equal to 200.
01:24 So this is the economic order quantity...
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