A firm's profit is determined by subtracting the cost of production from its revenues. Suppose we have Binjin Company selling pins at a price of p = 45. Its cost function is C(V) = y³ – 9y² + 60y + 10, y 2 0, for y units of pins sold. Define the Binjin Company's profit function ¤(y) and find the interval over which i is concave and the interval over which it is convex. Draw a rough sketch of the graph of 1(y) (Hint: You will be able to sketch the graph by determining the values of T(y), t'(y), and t"(y) at critical values.).

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A firm's profit is determined by subtracting the cost of production from its revenues. Suppose we have
Binjin Company selling pins at a price of p = 45. Its cost function is C(y) = y³ – 9y2 + 60y + 10, y 2 0,
for y units of pins sold. Define the Binjin Company's profit function T(y) and find the interval over which it
is concave and the interval over which it is convex. Draw a rough sketch of the graph of a(y) (Hint: You
will be able to sketch the graph by determining the values of T(y), T'(y), and t"(y) at critical values.).
Transcribed Image Text:A firm's profit is determined by subtracting the cost of production from its revenues. Suppose we have Binjin Company selling pins at a price of p = 45. Its cost function is C(y) = y³ – 9y2 + 60y + 10, y 2 0, for y units of pins sold. Define the Binjin Company's profit function T(y) and find the interval over which it is concave and the interval over which it is convex. Draw a rough sketch of the graph of a(y) (Hint: You will be able to sketch the graph by determining the values of T(y), T'(y), and t"(y) at critical values.).
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