3. An engineering firm recently conducted a study to determine its benefit and cost structure (total cost). The results of the study are as follows: The total benefit from producing q units is TB=10,000q-15q^2 so that its marginal benefit is MB=10,000-30q and the total cost of producing q units is TC=500,000+10q^2 so that its marginal cost is MC=20q

1. Enunciate the Marginal Principle.

2. Find the level of output q^* that maximizes the net benefit.

3. Find the maximum net benefit ^* achieved by the firm at the output level q^*.

4. If you were the manager of the firm, would you recommend the production of q=205 units of output instead of the production of q^* determined in question 2.? Explain your answer