Problem $12-4($Algo$)$

A toy manufacturer uses $45\mathrm{.}410$ 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. Carrying cost is $$2\mathrm{.}00$ per wheel per

year. Setup cost for a production run is $$38.$ The firm operates $239$ days per year. Determine the following:

a$.$ Optimal run size

Note: Round your answer to a whole number, following normal rules of roundlng.

EPQ

b$.$ Use your final answer from part a to determine minimum total annual cost for carrying and setup.

Note: Round your answer to a whole number.

c$.$ Cycle time for the optimal run size

Note: Round your answer to two decimal polnts.

d$.$ Run time

Note: Round your answer to two decimal polnts.