# Cost and Revenue Function

Algebra I Cost-Revenue Business Project This project is designed for you to demonstrate your understanding of systems of linear equations. Before starting, read the entire project outline and requirements. During this project you are to do the following: 1) Pair up with a partner and create a business that sells one commodity of your choice (points for creativity). 2) Create a Market Research Survey that will be used to survey 50 students to help you discover what potential customers are looking for in the product your group will create and sell.
The survey must include a minimum of three questions. 3) Conduct the survey. 4) Create a list of fixed costs – items and prices. Consider items such as a store, equipment, furniture, advertisement, etc. Use the survey results to revise the fixed cost list if needed. Include the total fixed cost. 5) Create a list of variable costs. With each variable cost include the dollar figure calculated per unit. Once again, use the survey results to revise the variable costs list if needed.
Sate the total variable cost. 6) Using the survey results and the total variable cost determine the product price. 7) Write the COST function and the REVENUE function. 8) Solve the system of equations algebraically using the substitution method AND the linear combination method in order to find the break-even point. 9) Create a model of the product. 10) Create a Power Point Presentation that includes the following: • A written introduction including a description of the product. A picture of the product • The completed Market Research Survey • A written summary of the survey results • A list of the fixed costs and the total • A list of the variable costs and the total • The cost and revenue functions • The algebraic computations of the break-even point • An accurate graphical representation of the cost and revenue functions that shows the break-even point and the regions of loss and profit (label all items)

• A written explanation of the break-even point and the profit and loss regions of the graph. 1) Prepare a 5 minute presentation in which both partners share the responsibility of discussing and demonstrating: • An introduction of the business and product • The product or model of the product • An explanation of how the Market Research Survey was used to help develop the product, the costs, and the product price • The cost and revenue functions • The algebraic computation of the break-even point • The graph of the cost and revenue functions, the break-even point, and the regions of loss and rofit • An explanation of the break-even point and the profit and loss regions of the graph • Graphing the cost and revenue functions and finding the break-even point using the graphing calculator
Algebra I Cost-Revenue Project Names: _________________________ _________________________ Work time and due dates: You will be given time to get organized today, 10 minutes of class time on Feb. 10th and 11th. We will work in the computer lab on Feb. 12th & 16th. • You will give your presentations on Tuesday February 17. Power Point presentations must be emailed to me ([email protected] k12. or. us) by 7:30 am on February 17th. If I don’t have it by then you will loose ALL presentation points. Power Point • • • • • Introduction of the business and product The product The completed Market Research Survey A written summary of the survey results An explanation of how the survey was used to help develop the product, the costs, and the product price A list of the fixed costs and total A list of the variable costs and total The cost and revenue functions

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