Suppose that the demand for Colin's kidney pies is linear in the price P. Further, assume that he can sell 100 pies when the price is $5.00 and 40 pies when the price is $10.00.(a) Determine the demand N (number of pies sold) as a function of theprice P (in dollars).(b) What is the slope of the graph of N ( P), including units? Describewhat the slope represents.(c) Determine the revenue R = N x P for prices P = 5, 6, 7, 8, 9, 10 andthen choose a price to maximize the revenue.

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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.