Question

Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) b. Determine the average time customers spend in the system. (Do not round intermediate calculation. Round your answer to 2 decimal places.) c. Determine the average number of customers in the system. (D

Answer 1

a. 0.45 customers

b. 0.0145 hours

c. 1.05 customers

Explanation:

Missing word "A vending machine dispenses hot chocolate or coffee. service time is 30 seconds per cup and is constant. customers arrive at a mean rate of 72 per hour, and this rate is Poisson-distributed."

λ = 72 customers per hours

μ = 120 customers per hours

a. Lq = λ²/ 2μ(μ-λ)

Lq = 72² / 2(120)(120-72)

Lq = 9/20

Lq = 0.45 customers

b. Ws = Wq + 1/μ = Lq/λ + 1/μ

Ws = 9/20 customers/72 customers + 1/120 customers

Ws = 0.0145 hours

c. Ls = Lq + r

Ls = 9/20 + 72/120

Ls = 1.05 customers