Tesla Electric uses $5,000$ toggle switches a year. Switches are priced as follows: $1$ to $499,$ $$2$ each; $500$ to $999,$ $$1\mathrm{.}85$ each; $1000$ to $1999,$ $$1\mathrm{.}80$ each; and $2000$ or more, $$1\mathrm{.}79$ each. It costs approximately $$8$ to prepare an order and receive it$,$ and annual carrying costs are $35$ cents per unit. What are the optimal total costs? NOTE: You must show all your work $$ including EOQ and all necessary TC calculations.

Quantity Unit Price

$1-499$ $$2\mathrm{.}00$

$500-999$ $$1\mathrm{.}85$

$1000-1999$ $$1\mathrm{.}80$

$2000+$ $$1\mathrm{.}79$