A toy manufacturer uses 48,800 rubber wheels per year for its popular dump truck series. The firm makes its own wheels, which it can produce at a rate of700 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 $39. The firm operates 244 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.)