A toy manufacturer uses 49,560 rubber wheels per year for its popular dump truck series. The firm makes its own wheels, which it can produce at a rate of 700 per day. The toy trucks are assembled uniformly over the entire year. The carrying cost is $1.70 per wheel per year. The setup cost for a production run is $42. 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 the 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.)