The cost of controlling emissions at a firm is given by c(q) = 4,000 + 100q2 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 $400 per pound of pollutant removed. how many pounds of pollutant should the firm remove each day in order to minimize net cost (cost minus subsidy)?

2 pounds of reduction per pollutant per day

Step-by-step explanation:

Cost of controlling emissions  :  C(q)  =  4000 + 100*q

And govermment subside is 400 * q

Therefore the cost function is:

C(q) =  4000 + 100q² - 400q

Derivative of C(q)   ⇒ C´(q)  =  200q - 400

equalizing to cero    200*q - 400 = 0  ⇒  q  = 400/200   q = 2

If we take second derivative  C¨¨(q)  = 200        200> 0  there is a minimun in the poin q = 2

All particles have energy, and the energy varies depending on the temperature the sample of matter is in, which determines if the substance is a solid, liquid, or gas. Solid particles have the least amount of energy, and gas particles have the greatest amount of energy.The temperature of a substance is a measure of the average kinetic energy of the particles. A change in phase may occur when the energy of the particles is changed.There are spaces between particles of matter. The average amount of empty space between molecules gets progressively larger as a sample of matter moves from the solid to the liquid and gas phases.

Source: Boundless. “The Kinetic Molecular Theory of Matter.” Boundless Chemistry. Boundless, 07 Apr. 2016. Retrieved 08 May. 2016 from https://www.boundless.com/chemistry/textbooks/boundless-chemistry-textbook/liquids-and-solids-11/kin...