a) The determination of the optimal size of the order assuming an EOQ model for the local coffee shop is <u>265 pounds</u>.
b) The total cost in the new coffee shop where the demand for coffee increased to 4,000 pounds at an order size of 265 pounds per order (assuming a unit cost of $3 per pound) is <u>$253,500</u>.
<h3>What is the EOQ Model?</h3>
The economic order quantity (EOQ) model calculates the ideal order quantity a company should purchase to minimize inventory costs such as holding costs, shortage costs, and order costs.
It is determined using the following model:
EOQ = square root of: 2 (ordering costs)(demand rate) / holding costs.
Thus, the EOQ model can be worked out as follows:
- Determine the demand units.
- Determine the ordering cost.
- Determine the holding cost.
- Multiply the demand by 2.
- Then multiply the result by the order cost.
- Divide the result by the holding cost.
<h3>Data and Calculations:</h3>
a) The annual demand for coffee = 3,500 pounds
Holding cost per pound = $10
Ordering cost = $100
EOQ = square root of: 2 ($100 x 3,500) / $10
= 265 pounds
The annual demand for coffee = 4,000 pounds
Holding cost per pound = $60
Ordering cost = $100
EOQ (Order size) = 265 pounds
Assumed unit cost per pound = $3
The total cost in the new coffee shop = $
Annual holding cost = $240,000 ($60 x 4,000)
Annual ordering cost = $1,500 ($100 x 4,000/265)
Annual purchase cost = $12,000 (4,000 x $3)
Total costs = $253,500
Learn more about the economic order quantity at brainly.com/question/14625177
