A toy manufacturer uses 51,920 rubber wheels per year for its popular dump truck series. The firm makes its own wheels, which it can produce at a rate of 900 per day. The toy trucks are assembled uniformly over the entire year. Carrying cost is $1.90 per wheel per year. Setup cost for a production run is $43. The firm operates 236 days per year. Determine the following:

a. Optimal run size (Round your answer to a whole number, following normal rules of rounding.)

b. Use your final answer from part a to determine minimum total annual cost for carrying and setup. (Round your answer to a whole number.)

c. Cycle time for the optimal run size (Round your answer to two decimal points.)

d. Run time (Round your answer to two decimal points.)