A popular, local coffeeshop in one of the suburbs of New York City $($NYC$)$ estimates they use $3,500$ pounds of coffee annually. They have to determine how many pounds to order each time in order to minimize their total annual cost.

a$.$ Determine the optimal size of the order assuming an EOQ model with a holding cost of $$10$ per pound annually and an ordering cost of $$100.($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Optimal Q

b$.$ The owner has recently opened another store of the same size in New York City; however, the demand for coffee is increased to $4,000$ pounds annually, and the holding cost is $$60$ per pound. Those numbers are much higher as is the cost of real estate in NYC$.$ The owner places orders of the same size as the first store because they are the same size stores. How much will the total cost be in the new coffeeshop? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

if the order size is the same in both shops.

c$.$ Can the owner save more by changing the order size in the second store?

Yes

No$.$