The Widgit 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 Production,
Regular Time Maximum Production,
Overtime Production Cost per Unit,
Regular Time
1 2 2 $300
2 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.