The total revenue curve of a firm is R(x) = 32·5x – 12x2 and its average cost A(x) = 1x2 – 13x + 20 + 200; where x is the firm’s output.                                   30                           x                                                             A) Derive an expression, Π (x),  for the firm’s profit function.  B) Is the rate of change of profit increasing or decreasing      when the output level of the firm is x = 10 and x = 30? c) Determine the level of output for which profit is maximized. (d). What is the maximum profit.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.