Herman Containers manufactures a variety of boxes used for packaging. Sales of its Model A$20$ box have increased significantly to a total of $460,000$ A$20$ boxes. Herman has enough existing production capacity to make all of the boxes it needs. The variable cost of making each A$20$ box is $$0\mathrm{.}80.$ By outsourcing the manufacture of these A$20$ boxes, Herman can reduce its current fixed costs by $$55,200.$ There is no alternative use for the factory space freed up through outsourcing, so it will just remain idle.

What is the maximum Herman will pay per Model A$20$ box to outsource production of this box?

Begin by identifying the basic formula that is used to determine the indifferent outsourcing cost per unit.

$[$:$[$ Cost $if$ making $A20$ boxes $,=,$ Cost $if$ outsourcing $A20$ boxes $]\}$