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AVERAGE PROFIT A manufacturer estimates that when q units of a certain commodity are produced, the prot obtained is P(q) thousand dollars, where P(q) =
AVERAGE PROFIT A manufacturer estimates that when q units of a certain commodity are produced, the prot obtained is P(q) thousand dollars, where
P(q) = -2q2 + 68q + 128
a. Find the average prot and the marginal prot functions.
b. At what level of production is average prot equal to marginal prot?
c. Show that average prot is maximized at the level of production found in part (b).
d. On the same set of axes, graph the relevant portions of the average and marginal prot functions.
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