Question 123803: The cost per hour of running an assembly line in a manufacturing plant is a function of the number of items produced per hour. The cost function is C(x)=0.3x^2-1.2x+2, where c(x) is the cost per hour in thousands of dollars, and x is the number of items produced per hour, in thousands. Determine the most economical production level.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The cost per hour of running an assembly line in a manufacturing plant is a function of the number of items produced per hour. The cost function is C(x)=0.3x^2-1.2x+2, where c(x) is the cost per hour in thousands of dollars, and x is the number of items produced per hour, in thousands. Determine the most economical production level.
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Find the minimum of C(x)
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Minimum occurs when x = -b/2a = 1.2/(2*0.3) = 2
C(2) = 0.3(2)^2-1.2*2+2 = 0.80000
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Cheers,
Stan H.
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