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Demand for DVD rentals at a video store is described by the equation: Q= 4,000-500P, where Q denotes the number of DVDs rented per week and P is the...

Demand for DVD rentals at a video store is described by the equation: Q= 4,000-500P, where Q denotes the number of DVDs rented per week and P is the rental price in dollars.
a. determine the point price elasticity of demand at P= $3.00
b. What would be the new point price elasticity if price were raised to P= $4.50?
c. If the profit maximizing price is $4.50, what is the marginal cost of a rental?
Please show all work. Thanks!

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