A man is selling ribbon: when he sets the price at p (per meter) the demand for ribbon is x*(p) = 18 − 1/6p^2 meters of ribbon. Find the revenue-maximizing price (where revenue is price times the quantity demanded at that price: i.e., R(p) = px*(p)). Show that at the revenue-maximizing price the elasticity of demand is (negative) 1.

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Q: suppose that the price p(in dollars) and the weekly sales x (in thousands of dollars) of a certain…

A: Given query is to find rate of change of sales.

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A: Equation of tangent to the curve y=f(x) at a point x=a is y-f(a)=f'(a)(x-a)

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Q: he average cost of producing a commoditiy is c(x)= (0.2x^2-4x+140)/x where x represents the number…

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Q: The Population of a small town,p, is modelled by the function p(t)=10 050 + 255t-20t^2, where t is…

A: Solution :- p(t)=10050 + 255t-20t2 (a) The average rate of change of a function ft on an interval a,…