Question

Chapter 18 Problems Help Save & Exit Submit Check my work 18. Problem 18-2 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 58 per hour, and this fate is Poisson-distributed. a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) Average number of customer b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average time minutes c. Determine the average number of customers in the system. (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Average number customers < Prev 18 of 191 Next >

Answer 1

solumont- A vending machine dispenses hot choclate or coffee It does this in 30 seconds Therefore the vending or service rate =a per min of 120 per hour. al M=120 0 586 arrival rate - average no. of customer met is a waiting waiting in line in lov 20 - 0.4833 Service time is constant 22 La = x ou (M-x) 582 0x120 (120-58) 10:22607 no. of customers waiting in line Therefore, the aug is 10.22607 L average time customer spend in the system is Ws : 9 + 1 = 0.22607 58 120 wsi 0.01023 ~ I min. Therefore, the aug time the customers spend in system

- the aug no. on the system is given by ts=hat he = 0.22607+ [Ls = 0.70940 120 The aug no. of system is lo 70940