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Qx =0.1Px- 3C+ 300 Qx = 1200 - 5PY+2Pz- 0.4Px + 0. 2 M where, Q: Quantity; P: Price of the related good, M: Income and C: Cost. Assume, Py=300; Pz=150; M=4000 and C=50. (Be careful about which one is the demand function and which is the supply function) (Write the axes on all of your graphs) a. Find the minimum and maximum values for both price and quantity for good X. (2pts) b. Find the equilibrium price and quantity for good X. Show in a graph (with the solution that you have found in "option a"). (3pts) c. Calculate the producer surplus, consumer surplus and social welfare. (4pts) d. Calculate the cross-price elasticity between the goods X and Y (by writing the formula you have used) and interpret it. (2pts) e. Calculate the cross-price elasticity between the goods X and Z (by writing the formula you have used) and interpret it. (2pts) f. Calculate the income elasticity of the good X (by writing the formula you have used), interpret it and draw the Engel Curve of the good X. (3pts) g. Calculate the supply elasticity of the good X at the equilibrium. (1pt)