A printing company makes hardcover and paperback books. There is a two-step process for both kinds of books. Each hardcover book requires 3 hours in step one and 1 hour in step two, and produces a profit of $25. Each paperback book requires 1 hour in step 1 and 2 hours in step 2, and produces a profit of $10. The company has 60 hours of labor available per day for step one and 40 hours available for step 2. - Write a function to describe the profit.
- Graph the system of inequalities for the scenario.
- Show testing each value to find the maximum profit.
- What is the manufacturer's maximum profit?
- What is the combination of books for this profit?