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Question 2 (5 marks) GLP Pvt Ltd produces three poultry food products, namely A, B and C. The metric tons of each product to be produced are x (Product A), y (Product B) and z (Product C), respectively. The company is committed to producing 260 metric tons of products B and C. The firm's associated profit function is given as follows: T =4x?+5y%>+10z2 40x 7y 47z (a) Determine the equation of the constraint based on the Company's commitment. (0.5 mark) (b) Use Lagrange multipliers to determine the tons (x, y and z) of each type of product needed to maximize the profit. (Provide answers in integers). (4 marks) (c) Find the maximum profit subject to the given constraint. (0.5 mark)