A toy manufacturer uses $46,170$ 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 $$1\mathrm{.}50$

per wheel per year. Setup cost for a production run is $$51.$ The

firm operates $243$ days per year. Determine the following:a$.$Optimal run size$($Round

your answer to a whole number, following normal rules of

rounding.$)$EPQ:$$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.$)$TOTAL ANUAL INVENTORY COST:$$c$.$Cycle time for the optimal run

size$($Round your answer to two decimal

points.$)$CYCLE TIME:$$