**Scenario**

A tech company has developed a new compact, high-efficiency battery for hand-held devices. Market projections have estimated the cost and revenue of manufacturing these batteries by the equations graphed below.

**Assessment Instructions**

Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

**Part 1**: Use the substitution method to determine the point where the cost equals the revenue.

**Part 2**: Interpret your results from Part 1 in the context of the problem.

**Part 3**: Do your results from Part 1 correspond with the graph? Explain.

**Part 4**: Profit is found by subtracting cost from revenue. Write an equation in the same variables to represent the profit.

**Part 5**: Find the profit from producing 100 thousand batteries.