You operate a computer store where demand for a particular laptop is $12,000$ per

year. Due to the price of security, your annual inventory costs are $50\%$ of what you paid for

a laptop. The supplier of the laptop charges an order cost of $$80,000$ independent of the size

of the order. You must order an integer number of phones. In addition, the supplier applies

an all$-$units discount scheme depending on the size of your order. This scheme is:

Order Quantity Price per Phone

$[1,2000]$ $$600$

$[2001,2800]$ $$500$

$[2801,3600]$ $$400$

$[3600,\backslash$infty $]$ $$350$

$($a$)[25$ points$]$ For each order quantity range $($listed in the table$),$ identify the demand rate,

ordering costs, inventory cost, the EOQ value, and the optimal order amount assuming you

must order within that range. $($b$)[5$ points$]$ Determine the optimal ordering amount for this

particular type of laptop when factoring in the discount scheme