The Stock Corporation makes two products, paper and cardboard. The relationship between , the firm's annual profit

Question:

The Stock makes two products, paper and cardboard. The relationship between π, the firm's annual profit (in thousands of dollars), and its output of each good is
π = − 50 + 40Q1 + 30Q2 − 5Q21 − 4Q22 − 3Q1Q2
where Q1 is the firm's annual output of paper (in tons) and Q2 is the firm's annual output of cardboard (in tons).
a. Find the output of each good that the Stock should produce if it wants to maximize profit.
b. If the community in which the firm is located imposes a tax of $5,000 per year on the firm, will this alter the answer to part (a)? If so, how will the answer change?
Corporation
A Corporation is a legal form of business that is separate from its owner. In other words, a corporation is a business or organization formed by a group of people, and its right and liabilities separate from those of the individuals involved. It may...