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Trucks arrive at the loading dock of a wholesale grocer at the rate of 1.2 per hour. A single crew consisting of two workers can load a truck in about 30 minutes. Crew members receive $10 per hour in wages and fringe benefits, and trucks and drivers reflect an hourly cost of $63. The manager is thinking of adding another member to the crew. The service rate would then be 2.4 trucks per hour. Assume rates are Poisson. Use Table 1 and Table 2. 10 a. Would the third crew member be economical? (Round your intermediate and final answer to 2 decimal places.) Yes > Answer is complete but not entirely correct. because, the total cost is $ 96.00 X b. Would a fourth member be justifiable if the resulting service capacity were 3 trucks per hour? (Round your intermediate and final answer to 2 decimal places.) Yes Answer is complete but not entirely correct. because, the total cost is $ 99.43 X

b. An employee has proposed adding new equipment that would speed up the loading rate to 5.71 trucks per day. The equipment would cost an additional $100 per day for each dock. What is the lowest daily total cost that can be achieved with the new equipment? (Round your cost amount to 2 decimal places and all other calculations to 3 decimal places.) Answer is complete but not entirely correct. 1,550.00 The daily total cost with the new equipment is $

Trucks are required to pass through a weighing station so they can be checked for weight violations. Trucks arrive at the station at the rate of 21 an hour between 7:00 p.m. and 9:00 p.m Currently two inspectors are on duty during those hours, each of whom can inspect 14 trucks a hour. Use Table 18.4. a. How many trucks would you expect to see at the weighing station, including those being inspected? (Round your answer to 3 decimal places.) Ls b.lf a truck was just arriving at the station, about how many minutes could the driver expect to at the station? (Round your answer to 2 decimal places.) Ws 4.284 trucks Pw 0.20 min. c. What is the probability that both inspectors would be busy at the same time?(Round your answer to 4 decimal places.)

d. How many minutes, on average, would a truck that is not immediately inspected have to wait? (Round your answer to the nearest whole number.) W₂ min. f. What is the maximum line length for a probability of .92? (Round up your answer to the next whole number.) L max