Answer the next three questions using the following information:

The annual demand for an item is $10,000$ units. The cost to process an order is $$75$ and the annual inventory holding cost is $20\%$ of item cost. The price structure is shown below.

Quantity Price

$1-999$ $$2\mathrm{.}50$ per unit

$1,000-7,999$ $$2.00$ per unit

$8,000$ or more $$1.80$ per unit

What is the optimal order quantity?

Question $18$ options:

A$)999$

B$)1805$

C$)7999$

D$)1732$

E$)8000$

Question $19(1$ point$)$

What is the optimal order quantity of the second price class $(10007,999)?$

Question $19$ options:

A$)1732$

B$)1000$

C$)1936$

D$)1805$

E$)7999$

Question $20(1$ point$)$

What is the optimal total cost?

Question $20$ options:

A$)18453\mathrm{.}75$

B$)18000\mathrm{.}71$

C$)23831\mathrm{.}02$

D$)19533\mathrm{.}75$

E$)26000\mathrm{.}5$