Question $20$: All$-$Units Discounts

Demand for an item is $21413$ units per year. Each order placed costs $$100.$ The annual carrying cost percentage per item in inventory is $19\%$ each. The variable purchase cost is $$2\mathrm{.}50$ per unit if less than $3000$ units will be ordered, $$2\mathrm{.}40$ from $3000$ units upto $($but not including $4000$ units$),$ and $$2\mathrm{.}30$ for at least $4000$ units. These are all$-$units discounts.

Part a: $3$ points

What is the optimal order quantity Q$*$ for the unit cost of $$2\mathrm{.}30?$ Please round to a whole number.

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Part b: $2$ points

Is this quantity realizable$/$feasible$?$

Please answer 'Yes' or $\text{'}$No$\text{'}.$

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Part c: $5$ points

What is the optimal realizable$/$feasible total annual cost at a unit cost of $$2\mathrm{.}30?$

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Part d: $3$ points

What is the optimal order quantity Q$*$ for the unit cost of $$2\mathrm{.}40?$ Please round to a whole number.

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Part e: $2$ points

Is this quantity realizable$/$feasible$?$

Please answer 'Yes' or $\text{'}$No$\text{'}.$

Locally stored answer:

Part f: $5$ points

What is the optimal realizable$/$feasible total annual cost at a unit cost of $$2\mathrm{.}40?$

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Part g: $3$ points

What is the optimal order quantity Q$*$ for the unit cost of $$2\mathrm{.}50?$ Please round to a whole number.

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Part h: $2$ points

Is this quantity realizable$/$feasible$?$

Please answer 'Yes' or $\text{'}$No$\text{'}.$

Locally stored answer:

Part i: $5$ points

What is the optimal realizable$/$feasible total annual cost at a unit cost of $$2\mathrm{.}50?$