Solved: Maximum Profit A corporation manufactures digital cameras at two locations. The
Chapter 13, Problem 71(choose chapter or problem)
Maximum Profit A corporation manufactures digital cameras at two locations. The cost functions for producing \(x_{1}\) units at location 1 and \(x_{2}\) units at location 2 are
\(C_1=0.05x_1^{\ 2}+15x_1+5400\)
\(C_2=0.03x_2^{\ 2}+15x_2+6100\)
and the total revenue function is
\(R=\left[225-0.4\left(x_{1}+x_{2}\right)\right]\left(x_{1}+x_{2}\right)\)
Find the production levels at the two locations that will maximize the profit \(P\left(x_1,\ x_2\right)=R-C_1-C_2\).
Text Transcription:
x_1
x_2
C_1 = 0.05x_1 ^2 + 15x_1 + 5400
C_2 0.03x_2 ^2 + 15x_2 + 6100
R = [225 - 0.4(x_1 + x_2)](x_1 + x_2)
P(x_1, x_2) = R - C_1 - C_2
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