The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. p=630-.06x (0<x<12000) The weekly total cost function associated with manufacturing the Pulsar 25 is given by C(x), where C(x) denotes the total cost incurred in producing x sets. C(x)= .000009x3-.02x2+200x+69000 (a) Find the revenue function R.R(x) =        Find the profit function P.P(x) =        (b) Find the marginal cost function C '.C '(x) =        Find the marginal revenue function R '.R '(x) =        Find the marginal profit function P '.P '(x) =        (c) Compute the following values. (Round your answers to two decimal places.) C '(1600) =  R '(1600) =  P '(1600) =

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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.