Could you please help me to solve this problem ?

2. (total 15 points) The Build-Em-Fast Company has agreed to supply its best customer with three widgits during each of the next 3 weeks, even though producing them will require some overtime work. The relevant production data are as follows: Week Maximum Produc- Maximum Produc- Production Cost per Unit, tion, Regular Time tion, Overtime Regular Time 2 2 $300 N 3 2 $500 3 1 2 $400 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. Formulate this problem as a transportation problem by constructing the appropriate parameter table and further defining your variables, constraints and objective function