please help due in 2 hours

Problem 11-13 (Algorithmic) Pete's Market is a small local grocery store with only one checkout counter. Assume that shoppers arrive at the checkout lane according to a Poisson probability distribution, with an arrival rate of 9 customers per hour. The checkout service times follow an exponential probability distribution, with a service rate of 15 customers per hour. The manager's service goal is to limit the waiting time prior to beginning the checkout process to no more than five minutes. Also the manager of Pete's Market wants to consider one of the following alternatives for improving service. Calculate the value of Wa for each alternative. a. Hire a second person to bag the groceries while the cash register operator is entering the cost data and collecting money from the customer. With this improved single-server operation, the service rate could be increased to 19 customers per hour. Round your answer to three decimal places. Do not round intermediate calculations. Wg = 2.842 minutes b. Hire a second person to operate a second checkout counter. The two-server operation would have a service rate of 15 customers per hour for each server. Note: Use Po values from Table 11.4 to answer this question. Round your answer to three decimal places. Do not round intermediate calculations. Wa- X minutes What alternative would you recommend? Justify your recommendation, Recommend one checkout counter with two employees The two counter system has better service but costs more TABLE 11.4 VALUES OF P, FOR MULTIPLE-SERVER WAITING LINES WITH POISSON ARRIVALS AND EXPONENTIAL SERVICE TIMES Ratio 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.00 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 0.8605 0.8182 0.7778 0.7391 0.7021 0.6667 0.6327 0.6000 0.5686 0.5385 0.5094 0.4815 0.4545 0.4286 0.4035 0.3793 0.3559 0.3333 0.2500 0.1765 0.1111 0.0526 Number of Servers (k) 3 0.8607 0.8607 0.8187 0.8187 0.7788 0.7788 0.7407 0.7408 0.7046 0.7047 0.6701 0.6703 0.6373 0.6376 0.6061 0.6065 0.5763 0.5769 0.5479 0.5487 0.5209 0.5219 0.4952 0.4965 0.4706 0.4722 0.4472 0.4491 0.4248 0.4271 0.4035 0.4062 0.3831 0.3863 0.3636 0.3673 0.2941 0.3002 0.2360 0.2449 0.1872 0.1993 0.1460 0.1616 0.1111 0.1304 0.08 15 0.1046 0.0562 0.0831 0.0345 0.0651 0.0160 0.0521 0.0377 0.0273 0.0186 0.0113 0.0051 0.8607 0.8187 0.7788 0.7408 0.7047 0.6703 0.6376 0.6065 0.5769 0.5488 0.5220 0.4966 0.4724 0.4493 0.4274 0.4065 0.3867 0.3678 0.3011 0.2463 0.2014 0.1646 0.1343 0.1094 0.0889 0.0721 0.0581 0.0466 0.0372 0.0293 0.0228 0.0174 0.0130 0.0093 0.0063 0.0038 0.0017 Problem 11-15 (Algorithmic) Ocala Software Systems operates a technical support center for its software customers. If customers have installation or use problems with Ocala software products, they may telephone the technical support center and obtain free consultation. Currently, Ocala operates its support center with one consultant. If the consultant is busy when a new customer call arrives, the customer hears a recorded message stating that all consultants are currently busy with other customers. The customer is then asked to hold and is told that a consultant will provide assistance as soon as possible. The customer calls follow a Poisson probability distribution, with an arrival rate of four calls per hour. On average, it takes 7.5 minutes for a consultant to answer a customer's questions. The service time follows an exponential probability distribution. To improve customer service, Ocala Software Systems wants to investigate the effect of using a second consultant at its technical support center. What effect would the additional consultant have on customer service? Would two technical consultants enable Ocala to meet its service guidelines (no more than 35% of all customers having to wait for technical support and an average customer waiting time of two minutes or less)? Round your answers to two decimal places. With two consultants, 3.86 x % of customers have to wait, with an average waiting time of 15.44 X minutes. Therefore, two consultants meet service goals