Question: Question 4 10 points Save Answer Customers arrive at a popular food truck Sally's Eats on-campus food truck at an average rate of 100 customers

Question 4 10 points Save Answer Customers arrive
Question 4 10 points Save Answer Customers arrive at a popular food truck Sally's Eats on-campus food truck at an average rate of 100 customers per hour, following a Poisson distribution Service time takes an average of 0.58 minutes per customer, following a negative exponential distribution. The food truck has only one line, but has the capacity to employ up to 3 servers at once. Suppose food truck servers are paid 19 dollars per hour, and customer waiting costs in terms of lost customer satisfaction and loyalty, have been estimated at 25 dollars per hour. The manager has computed the average number of customers in line for either 2 or 3 servers as follows: 2 servers: average number of customers in line: 0.2947 3 servers: average number of customers in line: 0.0398 At the moment, the food truck employs only one server. This server can handle the demand, but notices that there are often customers in line who get irritated with the waiting. The manager has decided to hire one or 2 more servers. With the goal of minimizing total costs, should only 1 more server be hired, or is it better to hire 2 more servers? (Note: there will still only be 1 line.) Hire more server(s). When employing the optimal number of servers, what is the total cost of service plus waiting? Give answer to the nearest cent. dollars per hour. Over an 8 hour day, how much money is saved by employing the optimal number of servers, versus employing only one server? Give answer to the nearest dollar. dollars per day. A consultant disagrees that more servers should be hired. That is because this consultant believes the cost of waiting is significantly lower than what was suggested here. What cost of waiting must the consultant have suggested, if they think the total cost of waiting plus service is the same for one server as for two servers? Give answer to the nearest dollars per hour. cent

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