process an order from the supplier is $$75.$ The company operates $250$ days per year, and the lead time to receive an order from the supplier is $2$ working days.

a$)$ Find the economic order quantity.

b$)$ Find the annual holding costs.

c$)$ Find the annual ordering costs.

d$)$ Calculate the reorder level

$6.$ Subway, with more than $25,000$ outlets in the U$.$S$.,$ is planning for a new restaurant in Buffalo, New York. Three locations are being considered. The following table gives the factors for each site.

$\backslash$table$[[$Factors$,$Weight,Location A$,$Location B$,$Location C$],[$Space$,0\mathrm{.}30,70,70,80],[$Cost$,0\mathrm{.}25,70,80,30],[$Traffic Density,$0\mathrm{.}20,60,80,60],[$Neighborhood Income,$0\mathrm{.}15,50,70,40],[$Zoning Law,$0\mathrm{.}10,80,20,90]]$

a$.$ At which site should Subway open the new restaurant?

b$.$ What are the other factors that subway should consider while finalising the location using above data?

$7.$ The three$-$station work cell at ABC is illustrated in given Figure. It has three machines at station parallel $($i$.$e$.,$ the product needs to go through only one of the two machines before proceeding to station $2).$

a$)$ What is the throughput time of this work cell?

b$)$ What is the bottleneck time of this work cell?

c$)$ What is the bottleneck station?

d$)$ If the firm operates $8$ hours per day, $7$ days per week, what is the weekly capacity of this work cell?