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The price elasticity ( ε ) of demand for Q has been estimated at -0.5. Current consumption Q* is 70 units and market price (P*) is 0.70.
a. Fit a linear demand curve to the observed market data. Illustrate your result using a suitably labelled diagram. Hint: ε - = b(P*/Q*)and the equation for a linear demand function is Q* = a-bP*.
b. Now assume that the price of Q increases to P* = 0.80. Using your estimated demand function, calculate the change in consumer surplus arising from the price increase. Illustrate your result.
Demonstrate mathematically that the equilibrium condition MRS PB PA is the equivalent of the utility-maximizing rule MU AP A MU B PB .
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