Answer:
344 Sheets
Explanation:
This can be estimated as follows:
D = Demand = 4,100 per year,
d = Daily demand = 4,100/365 = 11.23 sheets
T = Time between orders = four weeks = 28 days
L = Lead time, i.e. time sheets taken to be delivered = 14 days
SDd = Daily demand standard deviation = 3 per day
I = Current Inventory = 160 sheets
P = Service level = 95% (Probability of not stocking out)
From Standard normal distribution, z = 1.64 for 95% Service Level (or 5% Stock out)
SDt + l = SDd *
= 3 *
= 19.44
Employing the order quantity formula, we have:
Q = Order quantity = D * (T + L) + z * (SDt + l) - I
Substituting for the values, we have:
Q = 11.23 * (28 + 14) + 1.64 * 19.44 - 160
Q = 343.54 = 344 sheets approximately
Therefore, 344 sheets should be ordered.