A manufacturing firm producing weight training benches has a monthly fixed cost of 25,500 dollars and a variable production cost of 15 dollars per bench. If each bench is sold for 32 dollars, which equation correctly represents the break-even point ($x$), where the total revenue equals the total production cost?

Match each component of a manufacturing business model to its correct description when setting up a system of equations.

A production supervisor is evaluating the manufacturing costs and sales revenue for a low-cost weight training bench. Arrange the steps below in the correct logical order to find the production quantity where total costs match total revenue using a system of equations.

In a business model for manufacturing fitness equipment, the specific production level where the total revenue function $R(x)$ and the total cost function $C(x)$ are equal is known as the ________ point.

True or False: In the cost function $C(x) = 15x + 25,500$ used for a weight training bench manufacturer, the constant value 25,500 represents the fixed monthly costs that remain the same regardless of the number of benches produced.

Setting Up Cost and Revenue Models for a Weight Training Bench