One of N machines must be selected for manufacturing Q units of a specific product. The minimum and maximum demands for the product are Q* and Q**, respectively. The total production cost for Q items on machine i involves a fixed cost K_i and a variable cost per unit c_i, and it is given as TC_i = K_i + c_iQ

(a) Devise a solution for the problem under each of the four criteria of decisions under uncertainty.

(b) For 1000 ≤ Q ≤ 4000, solve the problem for the following set of data:

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Machine i 1 2 3 4 K; ($) 100 40 150 90 C; ($) 5238 12