A company is trying to optimize its inventory cost. Its conditions are: Annual Demand $=1,500$ dozens$/$year$,$ Ordering cost $=$$$\frac{35}{?}$ order, Holding cost $=40\%$ of price

The supplier is offering the following quantity discount schedule.

$\backslash$table$[[$quantity$,$Price,EOQ$],[1-19,$$$21\mathrm{.}95,],[20-99,$$$19\mathrm{.}95,],[100-199,$$$18\mathrm{.}95,],[200+,$$$17\mathrm{.}95,]]$

a$)$ Calculate EOQ for each price.

b$)$ At what condition $($price and quantity$)$ does the match happen $($feasible$)?$

c$)$ At what condition $($price and quantity$),$ should they operate at$?$