What output will maximize total revenue

Question

Problem

1. If y = (6x + 7)^0.5(2.6x² - 1.9), what is dy/dx?

2. What output will maximize total revenue given the non-linear demand schedule p = (60 - 2q)^1.5?

3. Derive a function for the marginal product of L given the production function Q = 85(0.5K^0.8 + 3L^0.5)^0.6

If Q = 120K^0.5(250 - 0.5K)^0.3 at what value of K will dQ/dK = 0? (That is, find the first-order condition for maximization of Q.)

The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.