$($a$)$ If the company takes a $3\%$ discount, calculate the new EOQ

$($b$)$ What would be the purchase cost at the new EOQ calculated above

$($c$)$ What would be the ordering cost at the new EOQ calculated above

$($d$)$ What would be the holding cost at the new EOQ calculated above

$($e$)$ What would be the total cost $($i$.$e$.$ sum of purchase, ordering and holding cost$)$ at the new EOQ calculated above

$($f$)$ What would be the purchase cost at $500$ units

$($g$)$ What would be the ordering cost at $500$ units

$($h$)$ What would be the holding cost at $500$ units

$($I$)$ What would be the total cost at $500$ units

$($j$)$ What would be the holding cost at $700$ units

$($k$)$ What would be the order cost at $700$ units

$($l$)$ What would be the purchase cost at $700$ units

$($m$)$ What would be the total cost at $700$ units

$($l$)$ Given all the calculations above $($following the discounts$),$ what is the minimum number of units the firm should purchase? Wivelsfield currently uses the economic order quantity $($EOQ$)$ to establish the optimal order quantities for their main raw material. The company has been approached by an alternative supplier who would be willing to offer the following discounts:

Order quantity Discount$/$

$0-199$ units $1\backslash \%$

$\backslash (200-499\backslash )$ units $3\backslash \%$

$\backslash (500-699\backslash )$ units $5\backslash \%$

$700$ units or more $7\backslash \%$

Information regarding current inventory costs is as follows:

Holding cost per unit per annum $\backslash (=10\backslash \%\backslash )$ of purchase price

Order costs $=\backslash$$$2$ per order

Annual demand $\backslash (=15,000\backslash )$ units

Purchase price $\backslash (=\backslash$$ $15\backslash )$

Current EOQ $=200$ units