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Unformatted text preview: 12 x + 6 is increasing or decreasing and ﬁnd where the relative maxima and minima occur. 7. (10 pts) Find where y =x 4 4 + 9 x 2 2 + 2 x is concave up or concave down and ﬁnd the xvalues where the inﬂection points are. 8. (8 pts) Find all asymptotes of f ( x ) = 2 x 2 x 2 + x6 . 9. (12 pts) For a monopolist’s product, the demand equation is p = 40 √ q and the averagecost function is c = 1 3 + 2000 q . Find the proﬁtmaximizing price and output. At this level, show that marginal revenue is equal to marginal cost. Extra Credit 5 pts State the relationship between elasticity and marginal revenue. Hint: Diﬀerentiate r = pq ....
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 Fall '08
 SMITH
 Math, Microeconomics, Derivative, pts, Mathematical analysis, Convex function, Marginal concepts

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