Example 1. Surge Electric uses 4000 toggle switches a year. Switches are priced as follows. 1 to 499, $O.90 each. 500 to 999, $0.85 each. and 1000 or more, $0.80 each. It costs approximately $30 to prepare an order and receive it, and the carrying costs are 40% of the purchase price per unit on an annual basis. Determine the optimal order quantity and the total annual cost. Solution antity Prige ner umit

EBK CONTEMPORARY FINANCIAL MANAGEMENT
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Chapter18: The Management Of Accounts Receivable And Inventories
Section: Chapter Questions
Problem 17P
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give another example for quantity discount model like the example in the photo 

Quantity Discount Model
Example 1.
Surge Electric uses 4000 toggle switches a year. Switches are priced as follows. 1 to 499, $0.90 each.
500 to 999, $0.85 each. and 1000 or more, $0.80 each. It costs approximately $30 to prepare an order
and receive it, and the carrying costs are 40% of the purchase price per unit on an annual basis.
Determine the optimal order quantity and the total annual cost.
Solution.
Quantity
Price per unit
If D- 4000 , H- 40% of purchase price, S- $30
1-499
$0.90
2DS
EOQ90.83-
2(4000)(30)
0.40x0.85
- 840 units
500-999
$0.85
H
T.C s4O @S085-을 H + s+ PD-0.40x0.85 +
4000
30 + 0.85 x 4000 - $3,686
1000 or more
$0.80
840
500
0.40x0.85+
The optimal order quantity
4000
T.C
PD -
30 + 0.85 x 4000 - $3,725
500
500 @$0.85
-1000 units
Transcribed Image Text:Quantity Discount Model Example 1. Surge Electric uses 4000 toggle switches a year. Switches are priced as follows. 1 to 499, $0.90 each. 500 to 999, $0.85 each. and 1000 or more, $0.80 each. It costs approximately $30 to prepare an order and receive it, and the carrying costs are 40% of the purchase price per unit on an annual basis. Determine the optimal order quantity and the total annual cost. Solution. Quantity Price per unit If D- 4000 , H- 40% of purchase price, S- $30 1-499 $0.90 2DS EOQ90.83- 2(4000)(30) 0.40x0.85 - 840 units 500-999 $0.85 H T.C s4O @S085-을 H + s+ PD-0.40x0.85 + 4000 30 + 0.85 x 4000 - $3,686 1000 or more $0.80 840 500 0.40x0.85+ The optimal order quantity 4000 T.C PD - 30 + 0.85 x 4000 - $3,725 500 500 @$0.85 -1000 units
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