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Given the profit function below, answer the following questions: π = (500 – 3x)x – (2x2...

  1. Given the profit function below, answer the following questions: π = (500 – 3x)x – (2x2 + 100)
    1. Plot the profit function
    1. What is the instant rate of change in profit for any value of x?
    1. What is the value of the instant rate of change in profit that maximizes the function?
    2. What is the value of x that maximizes profit? Illustrate on the graph in part a.
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