Problem $8-3($Algo$)$

A small producer of machine tools wants to move to a larger building, and has identified two alternatives. Location A has annual fixed costs of $$100,000$ and variable costs of $$13,000$ per unit; location B has annual fixed costs of $$300,000$ and variable costs of $$8,000$ per unit. The finished items sell for $$18,000$ each.

a$.$ At what volume of output would the two locations have the same total cost?