where q is the reduction in emissions (in pounds of pollutant per day) and C is

Question

where q is the reduction in 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 $200 per pound of pollutant removed. How many pounds of pollutant should the firm remove each day to minimize net cost (cost minus subsidy)? Choose the answer from the following :

1.6 pounds

2 pounds

4 pounds

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(q)= 1000+50q^{2} where q is the reduction in 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 $200 per pound of pollutant removed. How many pounds of pollutant should the firm remove each day to minimize net cost (cost minus subsidy)? Choose the answer from the following : 1.6 pounds 2 pounds 4 pounds

Explanation / Answer

2 pounds

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