Please provide all the calculations and explanations necessary to explain your answer.

You have just bought out your only competitor in the region for the sup- ply of electrical power. With the acquisition you now have a second power generation plant (Q2), but one that operates slightly differently to the one you already had (Q1). Both power plants will generate an identical electrical product (voltage and frequency) and can be combined to supply the market, i.e. QT\"; = Q1 + 62;. The inverse demand function you are faced with can be represented as P = 500 2Q, but the cost to run each plant is slightly different given by 01 = 25 + 262; and 01 = 20 + 262%. (8 Marks) (3.) Calculate your marginal revenue and marginal cost functions. (2 Marks) (b) Calculate how much each plant should be producing in order to maximise prots. (2 Marks) (0) Calculate the price at which you will maximise; your prots. (2 Marks) ((1) Calculate what your maximum prots will be. (2 Marks)