The marketing department of a phone company used İzmir to test market the firm’s new model. They found that the relationship between price p (dollars per unit) and the demand x (units per week) was given approximately by p = 750 – 0.1 x2 , where 0 < x < 60. a) Find the local extrema for the revenue function. b) Comment on the concavity of the revenue graph, where is it downward or upward? c) If the cost function for the company is C(x) = 480 + 270 x, find the local extrema for the profit function. d) Comment on the concavity of the profit graph, where is it downward or upward?

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The marketing department of a phone company used İzmir to test market
the firm’s new model. They found that the relationship between price p
(dollars per unit) and the demand x (units per week) was given
approximately by p = 750 – 0.1 x2

, where 0 < x < 60.
a) Find the local extrema for the revenue function.
b) Comment on the concavity of the revenue graph, where is it downward
or upward?
c) If the cost function for the company is C(x) = 480 + 270 x, find the local
extrema for the profit function.
d) Comment on the concavity of the profit graph, where is it downward or
upward?

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