A real world problem involving a linear equation with infinite solutions could be related to a company's pricing strategy.
For example, let's say a company sells a product and offers a discount for bulk purchases. The pricing equation for this scenario could be represented as:
y = mx + b
Where:
- y represents the total cost of the products purchased
- x represents the quantity of products purchased
- m represents the cost per unit of the product
- b represents the fixed cost
In this scenario, the company may want to set their pricing in such a way that they break even at a certain quantity of products sold. This could result in a linear equation with infinite solutions, as there are multiple combinations of quantity and cost per unit that could result in breaking even.
By analyzing the linear equation and the various possible solutions, the company can determine the most suitable pricing strategy to achieve their financial goals and maximize their profits.