Replace beta with 0301202

10. Replace B in this question with the second to last digit of your student number. Use the technique of Lagrange multipliers to find the point on the line given by y = -x +2 where the minimum value of the the function f(x, y) = 23 + ay + 2y - 2x + (8+1) occurs. (You may assume that the extrema you find does in fact correspond to a minimum - you do not have to show it is a minimum). [6 marks]