Assignment:
A manufacturer finds that the total profit from producing and selling Q units of a product is given by the profit function:
Total Profit = f(Q) = - 460 + 100Q - Q^2
Q1. Compute the value of the function at Q=10
Total Profit = f(10)= - 460 + 100(10) - 10^2
Total Profit = f(10)= - 460 + 1000 - 100
Total Profit = f(10)=540 - 100
Total Profit = f(10)=440
Q2. Compute the value of the first derivative of the function at Q=10
Q3. Explain the significance of each computation.
Q4. At what level of Q is Profit equal to 1,815?
Q5. Use Calculus: At what level of Q will Total Profit be a maximum?
Provide complete and step by step solution for the question and show calculations and use formulas.