A clothing store in No Stop, Wyoming purchases men\'s dress slacks from a vendor
ID: 467483 • Letter: A
Question
A clothing store in No Stop, Wyoming purchases men's dress slacks from a vendor. The vendor sells the dress slacks to the clothing store for $24.25 a piece. The cost to the clothing store for placing an order is $12, and the carrying cost is 15% of the purchase price. The clothing store manager estimates that 2,700 dress slacks will be sold during the year. The vendor has offered the clothing store the following volume discount schedule:
The clothing store's manager wants to determine the clothing store's optimal order quantity, given the foregoing quantity discount information.
1. Determine carrying cost as a percentage of purchase price.
2. Calculate EOQ for each discount price
3. Calculate TC for each EOQ
4. What is the clothing's optimal order quantity?
Order Size Discount % Price Carrying Cost (IC) 0-99 0% 100-199 2% 200-299 3% 300 and over 4%Explanation / Answer
Answer:
1.
2. EOQ = SQRT((2*demand*ordering cost) / carrying cost)
here ordering cost = $12 for each four carrying costs.
therefore
3. Total cost for each EOQ will be equal to:
TC = D/Q * Ordering cost + Q/2 * carrying cost
Therefore for each carrying cost TC will be equal to:
4. So the optimal order quantity = 134.82 units
Order Size Discount % Price Carrying Cost (IC) 0-99 0% $24.25 $3.64 100-199 2% $23.77 $3.56 200-299 3% $23.52 $3.53 300 and over 4% $23.28 $3.49 Price right now = $24.25 Carrying cost =15%Related Questions
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