A cable TV company has 3,200 customers paying $110 each month. Suppose each $1 reduction in price attracts 50 new customers. Let x represent the amount of reduction in price (in dollars). Find R(x), the total revenue function (in dollars). R(x) = (3200 + 50x) · (110 – xr) Find R'(x). R'(x) = -100x + 2300 Find the price that yields maximum revenue. $ Find the maximum 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.