Annual Demand $=200,000$

The order cost $=$ $$100$

Annual holding rate $=25\%$

Price varies depending on the order quantity per the following chedule: Orders between $1$ to $50,000$ units cost $$11$Orders of $50,001$ to $150,000$ cost $$10\mathrm{.}75$Orders greater than $150,000$ cost $$10\mathrm{.}50$

Determine the Order quantity using the price discount model. Also determine the TAIC and the optimal order quantity