A chemical plant produces sodium bisulfate in $100kg$ bags. Demand for this product is $32$ tonnes per day. The capacity for producing this product is $60$ tonnes per day. Setup cost is $$460,$ and holding cost is $$220$ per tonne per year. The company operates $200$ days a year. $($Note: $1$ tonne $=1,000kg.$

$.$ What is the optimal number of bags per production run? $($Round your internedlinte calcultetlons to $2$ declimal places and the tinal answer to the nearest whole number.$)$

Optimal number of bags

b$.$ What would the average inventory level be for this lot size? $($Rourd your internedlene ceiculetions to $2$ decinal pilaces end the Inal answer to the netrest whole numbery

Average inventory bags

c$.$ Determine the approximate length of a production run, In days. $($Round the internectlate calculetlons and finel answer to $2$ decinel pleces$-$

Run length days

d$.$ About how many production runs per year would there be$?($Found your interniedligte calculatlons to $2$ declimal places and the Tral answer to $1$ decinval place.$)$

Runs per year

e$.$ How much could the company save annually in inventory control cost if the setup cost could be reduced to $$230$ per productlon run and the optimal production quantity is recalculated and used? $($Rourd the irternediste calculations ond finel answer to $2$ decimal pleces.

Annual Savings $