Answer:
156
Explanation:
Production order quantity can be calculated by: [tex]\sqrt{2*K*D / h*(1-x)}[/tex]
Where, K = Setup Cost , D = Annual demand, H = Holding cost , x = d/p (daily demand rate/ daily production rate).
Production order quantity = [tex]\sqrt{2 * 50 *3650/12 * (1 - 20/100)}[/tex]
Production order quantity = [tex]\sqrt{2 * 50 * 3650/12 * (1 - 0.2)}[/tex]
Production order quantity = [tex]\sqrt{2 * 50 * 3650/12 * 0.8}[/tex]
Production order quantity = [tex]\sqrt{2 * 50 * 304.17 * 0.8}[/tex]
Production order quantity = [tex]\sqrt{24333.6}[/tex]
Production order quantity = 155.9923075026458
Production order quantity = 156 (rounding off)
So, the production order quantity for this problem is 156