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A monopolist offers two products x,z with the following inverse demand function
p1=20 - 4x
p2= 24 - 6z
where p1 and p2 are the prices of the goods and x and z are quantity demanded. The monopolist's total cost function, TC is given by
TC=2x2 + 12xz + 2z2
Find the prices and output levels that maximise profits; the price elasticity of demand for each product at the profit maximising prices.
The Theory of the Business
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