Answer:
a. 3,795 units
b. $1,897.50
c. $2,845.80
d. $42,693.80
Explanation:
Optimum size for the Production ran is the size that <em>minimizes</em> Set-up costs and Holding costs.
Optimum size for the Production = √ (2 × Annual Production × Set-up cost) / Holding Cost per unit
Optimum size for the Production = √ (2 × 600 × 300 × $200) / $5.00
= 3,794.73 or 3,795 units
Average Holding Cost = Optimum size for the Production / 2
= 3,795 units / 2
= $1,897.50
Set - up Cost = Total Annual Production / Optimum size for the Production × Set - up cost per unit
= ((600 × 300) / 3,795)× $5.00
= $237.15
Annual cost = $237.15 × 12
= $2,845.80
<u>Total Cost Calculation</u>
Purchase Price (3,795 × $10) = $37,950.50
Holding Cost = $1,897.50
Set - up Cost = $2,845.80
Total Cost = $42,693.80
POQ = Optimum size for the Production / Annual Demand
= 3,795 units / (300 × 600)
= 0.021
