$(14$ points$)$ Printed circuit board light$-$directed stuffing machines aid the operator in the insertion of electronic components into a printed circuit board. These semiautomatic machines are often compared to situations that are more labor intensive. In the semiautomatic case, fixed costs are higher, but direct labor costs are lower when compared to bench stuffing. For the selection of the most economical process, revenues and operation quality are identical and are ignored. Direct material costs are equal between the two operations.

For a printed board product, the labor cost is $$1$ per unit and the fixed cost is $$2,500$ per year for the semiautomatic machine. When manually stuffing the board, the labor cost is $$1\mathrm{.}50$ per unit and the fixed costs are $$1,800$ per year. Find the quantity where the two processes are equal in cost$,$ or referred to as the isocost point. Plot the comparison.