A problem of Mathematical Application of Economics. I need an accurate answer. thanks!

3. (25 points) A firm has a revenue function R(Q) and a total cost function C (Q), where Q is the firm's output. The firm engages in pollution control X, which costs a per unit. The firm's emissions are: E = E(Q, X) Assume that: EQ > 0 and Evo > 0; higher output increases emissions, and as output increases, the marginal emissions from a unit of output also incre Ex 0; pollution control reduces emissions, but the marginal effectiveness of pollution control is declining. Eox 0 taken together would imply that the second-order condition fails to hold)