The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model.
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where x is the reduction in sulfur emissions, y is the reduction in lead emissions (in pounds of pollutant per day), and C is the daily cost to the firm (in dollars) of this reduction. Government clean-air subsidies amount to $300 per pound of sulfur and $50 per pound of lead removed. How many pounds of pollutant should the firm remove each day to minimize the net cost (cost minus subsidy)?
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Enter your answer as an ordered pair in the form . Round your answer to three decimal places if necessary.
What will be an ideal response?
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Add or subtract as indicated. Simplify if necessary. +
A.
B.
C.
D.
Convert to an exponential equation.ln 44 = 3.7842
A. e3.7842 = 44 B. e3.7842 = 1 C. e44 = 3.7842 D. e3.7842 = ln 44
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.12 + 42 + 72 + . . . + (3n - 2)2 =
What will be an ideal response?
Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.4x2 + 4xy + 4y2 - 8x + 8y = 0
A. x = (x' - y') and y =
(x' + y')
B. x = -y' and y = x'
C. x = x' -
y' and y =
x' +
y'
D. x = x' -
y' and y =
x' +
y'