The marketing department at XYZ Company has found that, when Product ABC is sold at a price of p dollars per unit, the number x of Product ABC sold is given by the demand equation = 280 – 14p. - (a) Find the model that expresses the revenue R as a function of the price p. (Note that R хр, the unit price times the number of units sold) R(p) (b) Explain how would you find the price that will maximize the revenue (the optimal price), and the maximum revenue. Use the box below to type your answer. Edit - Insert Formats В I U x, x² A (c) Find the optimal price and the maximum revenue. The optimal price: dollars The maximimum revenue: dollars

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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.