consider the linear demand function q 20 - 05pa-, Business Economics

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consider the linear demand function q 20 - 05pa-

Consider the Linear demand function Q = 20 - 0.5P

a- find the level of output with the help of calculus, Qrmax, where total revenue reaches its maximum value. What price Prmx maximizes whole income? What is the value of TR at this maximum point?

b- Write the equation for marginal revenue. Using MR, verify that Qrmax derived in part c maximizes total revenue.

c- Calculate the point elasticity of demand at Prmax. Does E have the expected value? Explain briefly

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