Chapter 8 - Systems of Linear Equations and Problem Solving - 8.8 Business and Economics Applications - 8.8 Exercise Set - Page 563: 15

$$\frac{25}{8}\ units$$

(a) The total profit is equal to the revenue minus the cost. Thus, the total profit function is: $$ 16x-50,000$$ (b) The break even point is where the revenue and costs are equal: $$40x=24x+50 \\ x=\frac{25}{8}$$ Where here, the unit count is in thousands.