The demand function P= D(x)= -0.3x+ 33 and the total cost function C) =1.2x +9.2x+65 for a particular commodity are given in terms of the level of production X. a. Find the revenue R(x) and profit P(x). b. Find all values of x for which production of the commodity is profitable.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The demand function P D(x)=-0.3x+33 and the total cost function C)=1.2x +9.2x+ 65 for a particular commodity are given in terms of the level of production X.
a. Find the revenue R(x) and profit P(x).
b. Find all values of x for which production of the commodity is profitable.
a. R(x) =-0.3x + 33x; P(x) = 1.5x- - 23.8x + 65
b. x > 3.51
a. R(x) = -0.3x2 + 33; P(x) = 1.5x2 - 23.8x + 65
b. 3.51 <x< 12.36
a. R(x) = -0.3x- + 33: P(x) = -1.5x- + 23.8x - 65
b. x> 3.51
a. R(x) = -0.3x2
b. 3.51 <x < 12.36
+ 33x; P(x) = -1.5x² +
23.8x - 65
Transcribed Image Text:The demand function P D(x)=-0.3x+33 and the total cost function C)=1.2x +9.2x+ 65 for a particular commodity are given in terms of the level of production X. a. Find the revenue R(x) and profit P(x). b. Find all values of x for which production of the commodity is profitable. a. R(x) =-0.3x + 33x; P(x) = 1.5x- - 23.8x + 65 b. x > 3.51 a. R(x) = -0.3x2 + 33; P(x) = 1.5x2 - 23.8x + 65 b. 3.51 <x< 12.36 a. R(x) = -0.3x- + 33: P(x) = -1.5x- + 23.8x - 65 b. x> 3.51 a. R(x) = -0.3x2 b. 3.51 <x < 12.36 + 33x; P(x) = -1.5x² + 23.8x - 65
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