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For a quantity x of a certain product the demand function d(x) and the supply function...

For a quantity x of a certain product the demand function d(x) and the supply function s(x) are given by the formulas: d(x) = 720 − 0.06x^2, s(x) = 0.012x^2.

Sketch the graphs of these functions on the same graph and find the market demand, the positive quantity x at which the two curves meet (supply equals demand).

For this value of x also compute the producer surplus and the consumer surplus and indicate on your graph which areas these correspond to.

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