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

a. 0.45 customers

b. 0.0145 hours

c. 1.05 customers

Step-by-step 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

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional