2. (p. 394, #8.1-9) The Build-Em-Fast Company has agreed to supply its best customer with three widgets during each of the next 3 weeks, even though producing them will require some overtime work. The relevant production data are as follows: Maximum Production, Week Regular Time Maximum Production Cost Production per Unit, Overtime | Regular Time 2 $300 2 $500 $400 2 3 The cost per unit produced with overtime for each week is $100 more than for regular time. The cost of storage is $50 per unit for each week it is stored. There is already an inventory of two widgets on hand currently, but the company does not want to retain any widgets in inventory after the 3 weeks. Management wants to know how many units should be produced in each week to minimize the total cost of meeting the delivery schedule. (a) Formulate this problem as a transportation problem by constructing the appropriate parameter table. (b) Obtain an optimal solution. 4. Redo problem #2 above using software. What software did you use? What difficulties, if any, did you have adapting the problem? Which of the above methods (Northwest corner, Vogel's, or Russell's) do you think the software uses? Why