A towing company operates a large fleet of trucks. These trucks have averaged one call for mechanical service every 4 hours. Trucks generate revenue at the rate of $20 per hour. The mechanic, Thumbs Swenson, costs the company $12 per hour in wages, fringes, and equipment. Thumbs was found to average 20 minutes on a truck without help from the truck driver (2 hours per truck with the truck driver's help). As the trucks got older, the company found that the rate of mechanical failures increased. In the second year of operation, Ace suffered a truck breakdown rate of one truck per hour. The increased severity of the mechanical failures also required additional mechanic time, and the average repair time per truck was now 45 minutes.

(a) What is the probability of 0, 1, or 2 trucks in need of repair at any one time? (Round your answers to 4 decimal places.)

P0 ___________

P1 ___________

P2 ___________

(b) What is the average number of trucks requiring repair at any one time? (Round your answer to 4 decimal places.)

Average number of trucks _______________

(c) What is the average time a truck is out of service after breaking down? (Round your answer to 4 decimal places.)

Average time _____________ hour(s)

(d) What is the average amount of time a truck waits for Thumbs? (Round your answer to 4 decimal place.)

Average amount of time _____________ hour(s)

(e) On the average, how many trucks are idle while waiting for Thumbs? (Round your answer to 4 decimal place.)

Number of trucks _________________

(f) What is the cost to Ace in lost revenue by not having enough mechanics? (Round your answer to 2 decimal places. Omit the "$" sign in your response.)

Cost $________ per hour

(a) What is the probability of 0, 1, or 2 trucks in need of repair at any one time? (Round your answers to 4 decimal places.)

P0 ___________

P1 ___________

P2 ___________

(b) What is the average number of trucks requiring repair at any one time? (Round your answer to 4 decimal places.)

Average number of trucks _______________

(c) What is the average time a truck is out of service after breaking down? (Round your answer to 4 decimal places.)

Average time _____________ hour(s)

(d) What is the average amount of time a truck waits for Thumbs? (Round your answer to 4 decimal place.)

Average amount of time _____________ hour(s)

(e) On the average, how many trucks are idle while waiting for Thumbs? (Round your answer to 4 decimal place.)

Number of trucks _________________

(f) What is the cost to Ace in lost revenue by not having enough mechanics? (Round your answer to 2 decimal places. Omit the "$" sign in your response.)

Cost $________ per hour

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