A large insurance company maintains a central computing system that contains a variety of information about customer accounts. Insurance agents in a six-state area use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed. Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 40 calls per hour. The service rate per line is 24 calls per hour. (a) What is the probability that 0, 1, 2, and 3 access lines will be in use? (Round your answers to four decimal places.). P(O) = P(1) == P(2) P(3) = = x x x x See the rounding prompt for how many decimal places are needed. (b) What is the probability that an agent will be denied access to the system? (Round your answers to four decimal places.) Pk = D (c) What is the average number of access lines in use? (Round your answers to two decimal places.) (d) In planning for the future, management wants to be able to handle = 51 calls per hour. In addition, the probability that an agent will be denied access to the system should be no greater than the value computed in part (b). How many access lines should this system have? 8:58 PM

An inventor has developed a system that allows visitors to museums, zoos, and other attractions to get information at the touch of a digital code. For example, zoo patrons can listen to an announcement (recorded on a microchip) about each animal they see. It is anticipated that the device would rent for $3.00 each. The installation cost for the complete system is expected to be about $400,000. The Milwaukee Zoo is interested in having the system installed, but management is uncertain about whether to take the risk. A financial analysis of the problem indicates that if more than 10% of the Zoo visitors rent the system the zoo will make a profit. To help make the decision, a sample of 400 zoo visitors is given details of the system’s capabilities and cost. Forty eight people say they would rent the device. c). Estimate the actual percentage of the visitors who would rent the system using a 98% confidence interval using Minitab.

Hillary and Adams, Inc., is a privately owned firm located in Atlanta that serves as the regional distributor of natu-ral food products for Georgia, Kentucky, North Carolina, South Carolina, and Tennessee. They are particularlywell known for their unique blend of fiery hot Habanera sauces. Every week, a truck leaves the large distributioncenter in Atlanta to stock local warehouses located in Charlotte, North Carolina; Charleston, South Carolina;Columbia, South Carolina; Knoxville, Tennessee; Lexington, Kentucky; and Raleigh, North Carolina. The truckvisits each local warehouse only once and returns to Atlanta after all the deliveries have been completed. Thedistance between any two cities in miles is given below John Jensen, vice president of logistics at Hillary and Adams, Inc., is worried about the rising fuel costs.With a reduction in operating budgets, he is interested in finding a route that would minimize the distance trav-eled by the truck.Use the NN heuristic to identify a…

Consider a remote town in which two restaurants, All-You-Can-Eat Café and GoodGrub Diner, operate in a duopoly. Both restaurants disregard health and safety regulations, but they continue to have customers because they are the only restaurants within 80 miles of town. Both restaurants know that if they clean up, they will attract more customers, but this also means that they will have to pay workers to do the leaning. If neither restaurant cleans, each will earn $14,000; alternatively, if they both hire workers to clean, each will earn only $11,000. However, if one cleans and the other doesn't, more customers will choose the cleaner restaurant; the cleaner restaurant will make $18,000, and the other restaurant will make only $6,000. Complete the following payoff matrix using the information just given. (Note: All-You-Can-Eat Café and GoodGrub Diner are both profit-maximizing firms.) All-You-Can-Eat Café $ Cleans Up Doesn't Clean Up $ Cleans Up $ 81°F Sunny $ GoodGrub Diner $ $ If…