Questions 1-5 relate to the following demand curves for a firm that produces two goods: p1=100-q1 and p2=200-q2. The firm's cost function is C (q1,q2)=q1^2-q1q2+q2^2+100. What is the profit-maximizing value of q1?

Q2: What is the profit-maximizing value of q2?

Q3: What is the value of the second derivative with respect to q1 at the solution?

Q4: What is the value of the second derivative with respect to q2 at the solution?

Q5: What is the optimized value of profit? (Do not include any dollar signs.)