$2\mathrm{.}1$ Assume a fixed cost for a process of $$15,000.$ The variable cost to produce each unit of product is $$10,$ and the selling price for the finished product is $$25.$ What is the number of units that have to be produced and sold to break even?

$2\mathrm{.}2$ Assume a fixed cost for a process of $$120,000.$ The variable cost to produce each unit of product is $$35,$ and the selling price for the finished product is $$50.$ What is the number of units that have to be produced and sold to break even?

$2\mathrm{.}3$ You are hired as a consultant to decide if your client should purchase a new, highly specialized piece of equipment. The product to be produced by this equipment is forecast to have a total worldwide demand of $15,000$ units over the entire product life. The initial investment to acquire and install the equipment is $$256,000.$ The variable cost to produce each unit will be $$15,$ and the selling price for the finished product will be $$30.$ What will be the total margin at the end of the product life?