Question

Only need 1-8

01-02 The post office uses a multiple channel queue, where customers wait in a single line for the first ava lable window. If the average service time is I minute and the arrival rate is 6customers every five minutes, find for a 5 minutes perfermance time window, when two service windows are open Q1. the probability that both windows are idle (not busy). a. 0.1765 b. 0.2500 c. 0.5160 d 0.1976 02. the probability a customer will have to wait a. 0.1900 b.0.1809 c. 0.5765 d. 0.4500 03-07 Marty's Barber Shop has one barber. Customers have an arrival rate of 2 customers per hour, and haircuts are given with a rate of S per hour. Use the Possion arrivals and exponential service times model to answer the following questions Q3. What is the probability that no units are in the system? c. 0.6000 d.0.5300 a. 0.0025 b. 0.0500 04. What is the probability that one customer is receiving a haircut and no one is waiting? b.0.1500 c. 0.3385 d. 0.0608 is the pohability that one customer is recciving ?. 0.1033 a haircut and one customer is waiting? d. 0.0960 d. 05300 d. 09744 0.3080 b. 0.1965 hat is the probability that one customer is receiving a haircut and two customers are waiting? 0.0025 b. 0.0384 c0.2175 What is the probability that more than two customers are waiting? a. 0.4446 b. 0.0256 ??0.3385 08 An investor can pick the mean-variance tradeoff that he or she is most comfortable with by looking at a graph of the a. feasible region h pooled components c. rolling horizon. d. efficient frontier. 09. Native Cstoms sells two popular styles of hand-sewn footwear. a sandal and a moccasin. The cost to make a pair of sandals is S18, and the cost to make a pair of moccasins is $24. The demand for these two items is sensitive to the price, and historical data indicate that the monthly demands are given by S = 400-10, and A-450-15P, where S- demand for sandals (in pairs), M demand for moccasins (in pairs), P price for a pair of sandals, and P price for a pair of moccasins. To remain competitive, Native Customs must limit the price (per pair) to no more than $60 and $75 for its sandals and moccasins, respectively. The objective function for this nonlinear programming is:

Answer 1

o sea 6o @o. 劍:12 tnse (84 60 2 (60 O. I 65 OoionA Up-HovM Opten

9-4 tuolo dno unis in 5 Op tien c ig tme i th waiting lie 0-133 2 5 (5-) tina in t te 6-333 S-2 uai kng : ( o.6x L- 0.6 E) = 0.24

Option D 30.0384 ption