$5.$ A hardware store estimates the demand on number $6$ screws as $7,000$ screws per month. The cost of filling out the forms to place an order is $$10.$ The annual holding cost rate of a screw is $5\%.$ The cost per screw is $10$ cents. The lead time is six days, and the store is open $288$ days per year, assuming $24$ days per month. Determine the following:

a$)$ The economic order quantity. $(5$ Points$)$

A $-$

b$)$ The reorder point assuming no safety stock. $(5$ Points$)$

A $-$

c$)$ The number of orders per year. $(5$ Points$)$

A $-$

d$)$ The time between orders. $(5$ Points$)$

A$-$

The total annual cost. $(5$ Points$)$

A $-$

f$)$ Redo all the previous calculations in Excel and plot the cost curves and highlight the EOQ. $(10$ Points$)$