Consider a competitive market for red lentils with 100 identical farmers in Horsham Victoria, a competitive market price of $5 and the following MC for each farmer: MC = $0.05Q Also consider the following market demand function: QD = 1000 40P a) Calculate the optimal level of production (in tonnes) for each farmer (show workings) b) Assuming 100 lentil farmers of equal size how many tonnes of lentils in total will be supplied in the entire market? (show all workings) c) Consider that the government now imposes a 25% tax on producers, calculate i) the new equilibrium level of output for each rm (hint think about how this affects each farmer's marginal cost), and ii) new total supply in the entire market (show all workings)