Consider a market in which the market demand curve is given by P = 18 - Q. Firm 1 has a marginal cost of 3, while Firm 2 has a marginal cost of 6. a) Find the Cournot equilibrium outputs in this market. How much profit does each firm make? (4 points)
b) Find the Stackelberg equilibrium in which Firm 1 acts as the leader. How much profit does each firm make?

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

The figures below are made out of circles, semicircles, quarter circles, and a square. find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)