Q1. (16 marks) The total cost function of a fn-m that produces its product on two assembly lines is given as: TC = 3X2 + 6Y2 XY subject to the constraint: X + Y = 20 The problem facing the rm is to determine the least-cost combination of output on assembly lines X and Y subject to the side condition that total output equal 20 units. (A) Use the Lagrangian multiplier method to determine X and Y that lead to the minimization of TC. (B) Verify that the values of X and Y minimize the TC. (C) Find the TC given the values of X and Y. (D) Interpret the value of the Lagrangian multiplier