Optimization- Max/Min MAT 263

The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model:

C(q) = 4,800 + 98q²

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. What level of reduction corresponds to the lowest average cost per pound of pollutant? (Round your answer to two decimal places.)

___________________pounds of pollutant per day

What would be the resulting average cost to the nearest dollar?

$____________ per pound