Setting Up Cost and Revenue Models for a Weight Training Bench
At Apex Fitness, a product development team is launching a new line of low-cost weight training benches. As a junior production manager, you need to establish the algebraic models to monitor the project's financial viability. The team has calculated the following monthly figures:
- Fixed monthly overhead costs (such as facility rent, equipment leasing, and administrative salaries) are 25,500 dollars.
- The variable cost to manufacture each individual bench (raw materials and assembly labor) is 15 dollars.
- Each weight training bench is sold to wholesale distributors for a price of 32 dollars.
For a monthly production and sales volume of benches, answer the following:
- Recall and state the total cost function .
- Recall and state the total revenue function .
- Write down the algebraic equation created by setting total cost equal to total revenue to find the break-even point (you do not need to solve the equation).
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Related
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 (), 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 and the total cost function are equal is known as the ________ point.
True or False: In the cost function 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