Loading...
Digital SAT
Digital SAT Mathematics - No Calculator Section

Break-even Analysis of Products X and Y

Very Hard Heart Of Algebra Linear Functions

A company sells two products, X and Y, with the number of units sold represented by variables $x$ and $y$, respectively. Product X generates a revenue of $15 per unit while Product Y generates $20 per unit. The company has increasing costs and their total expenses can be modeled by the equation: $$C(x,y) = 12x + 15y + 300$$. If the company wants to break even, the revenue generated must equal the costs. Can you find the equation representing the break-even point?

Using the information provided, derive the equation that expresses the condition for break-even in terms of the variables $x$ and $y$.

Hint

Submitted7.9K
Correct7.4K
% Correct93%