please solve by showing all step.

1of1 1. The average cost curve ofa rm is given by AC = 15 6Q + Q2 + i (i) Derive the total and marginal cost curves (ii) If the rm can sell as many units of output as it wishes at a price of 6, what quantity will it sell if it is to maximise prots? (iii) What prot is made at this level of output? Comment. 2. Suppose the demand and supply curves for a market are Qd = 1200 2P and Q5 2 4P (i) Find the equilibrium Price and Quantity (ii) If a purchase tax t is imposed nd the new equilibrium and the amount of tax revenue. (iii) Find the value of t which maximises tax revenue. 3. Find and classify any stationary points of the following functions: (i) y =x2 5x5 (ii) y = 2x2 + 4 (iii) y = 2x3 9x2 24x +10 (iv) y = (3x 2)2 (v) y=4\\/;x (vi) y=x3 (vi) y= 3" x2+1