Question

The College Bookstore sells a unique calculator to college students. The demand for this calculator has a normal distribution with an average daily demand of 20 units and a standard deviation of 4 units per day. The lead time for this calculator is 9 days. Compute the statistical reorder point that results in a 95 percent in-stock probability. Choose the closest answer.Select one:

a. 200 units
b. 180 units
c. 420 units
d. 20 units
e. 80 units

Answer 1

Option (A) is correct.

Step-by-step explanation:

Given that,

Mean daily demand, M = 20 calculators per day

Standard deviation, SD = 4 calculators per day

Lead time for this calculator, L = 9 days

z-critical value (for 95% in-stock probability) = 1.65 (From z tables)

Normal consumption during lead-time:

= Mean daily demand × Lead time

= 20 × 9

= 180 units of calculator

Safety Stock = z value × SD × L^(0.5)

= 1.65 × 4 × (9)^(0.5)

= 1.65 × 4 × 3

= 19.8 units

Reorder Point = Normal consumption during lead-time + Safety Stock

= 180 units + 19.8 units

= 199.8 or 200 units (Approx)