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Part $1$

Abey$$ Kuruvilla, of Parkside$$ Plumbing, uses $1$ comma $2301,230$ of a certain spare part that costs $$$$2525$ for each$$ order, with an annual holding cost of $$$$2424.$

Part $2$

$$a$)$ Calculate the total cost for order sizes of$25,40,50,60,$ and $100($round your responses to two decimal$$ places$).$

Order Size

Total Cost$($$$)$

$2525$

$1530\mathrm{.}001530\mathrm{.}00$

$4040$

$1248\mathrm{.}751248\mathrm{.}75$

$5050$

$1215\mathrm{.}001215\mathrm{.}00$

$6060$

$1232\mathrm{.}501232\mathrm{.}50$

$100100$

$1507\mathrm{.}501507\mathrm{.}50$

Part $3$

$$b$)$ What is the economic order$$ quantity? $50\mathrm{.}6250\mathrm{.}62$ units $($round your response to two decimal$$ places$).$