The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model.
$C ( x , y ) = 6,000 + 200 x ^ { 2 } + 75 y ^ { 2 }$
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)

Enter your answer as an ordered pair in the form $( x , y )$ . Round your answer to three decimal places if necessary.

Question

The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model.
  $C ( x , y ) = 6,000 + 200 x ^ { 2 } + 75 y ^ { 2 }$  
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) 
 
Enter your answer as an ordered pair in the form $( x , y )$ . Round your answer to three decimal places if necessary.

Quizplus · Accepted Answer

The Answer of The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model.
  $C ( x , y ) = 6,000 + 200 x ^ { 2 } + 75 y ^ { 2 }$  
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) 
 
Enter your answer as an ordered pair in the form $( x , y )$ . Round your answer to three decimal places if necessary.

The Cost of Controlling Emissions at a Firm Goes Up C(x,y)=6,000+200x2+75y2C ( x , y ) = 6,000 + 200 x ^ { 2 } + 75 y ^ { 2 }C(x,y)=6,000+200x2+75y2

The Cost of Controlling Emissions at a Firm Goes Up $C ( x , y ) = 6,000 + 200 x ^ { 2 } + 75 y ^ { 2 }$