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 $600 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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A. 3.5 lb of sulfur and 2 lb of lead
B. 6 lb of sulfur and 1 lb of lead
C. 3 lb of sulfur and 1 lb of lead
D. 1.9 lb of sulfur and 3.5 lb of lead
E. 1 lb of sulfur and 3 lb of lead
Answer: C
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A. Absolute minimum only. B. Absolute maximum only. C. No absolute extrema. D. Absolute minimum and absolute maximum.
Without graphing the function, determine its amplitude or period as requested.y = 2 cos xFind the amplitude.
A.
B. 6?
C.
D. 2
Solve. -
=
A. -
B. -11
C. -
D. empty set solution
Match the inequality with a graph.-7x < 5 - 4y
A.
B.
C.
D.