3. One of 4 machines must be selected for manufacturing Q units of a specified product. The minimum and maximum demands for the product are 500 and 2500 units, respectively. The total production cost for Q items on machine I involves a fixed cost per unit c: and is given as TC,- = K; +c,-0..-. Assuming that any of the machines are used to manufacture lots in multiples of 500 and: Machine 1 2 3 4 K,- 100 40 150 90 Cr 5 12 3 8 a. Construct the cost table and the decision tree. b. Devise a solution for the problem under each of the four criteria of decision under uncertainty