### given P= 1000-100Q (where demanded/purchased and P=price per unit) a) write an equation for total revenue (TR)in term of Q. Define AR (Average…

given P= 1000-100Q (where demanded/purchased and P=price per unit)

a) write an equation for total revenue (TR)in term of Q. Define AR (Average revenue).

b) define MR (marginal revenue) and derive equation for MR using the equation of TR above.

c) determine the value of Q at which TR is at maximum. How do you know that TR attained its maximum at that point? verify your conclusion.

d) Given Q= 1000-100P (where Q=quantity demanded/purchased and P = price per unit), define TR in terms of P(and write an equation for TR in term of P). You may repeat part (a), (b), and (c). compare your answers in parts a, b, and c