In planning a sidewalk cafe, it is estimated that if there are 28 tables, the daily profit will be $8 per table and that, if the number of tables is increased by x, the profit per table will be reduced by x dollars (due to overcrowding). How many tables should be present in order to maximize the profit?

1 answer

profit = # tables * profit/table
p(x) = (28+x)(8-x)
the vertex of this parabola is at x = -10
This may seem like a strange answer, but what does it mean?
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