The Build-Em-Fast Company Has Agreed to Supply Its Best Customer

question 5

Essay

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: 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: 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 special restriction for this problem is that overtime should not be used in any particular period unless regular time in that period is completely used up.Explain why the logic of separable programming implies that this restriction will be satisfied automatically by any optimal solution for the transportation problem formulation of the problem.(You only need to explain this logic without formulating the transportation problem.)

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Definitions:

Frederic Jameson

An American literary critic and Marxist political theorist best known for his analysis of contemporary cultural trends and the concept of postmodernity.

Postmodern Society

A concept referring to the state or condition of society which is characterized by a complex, pluralistic, and fragmented perspective, moving beyond the principles and conventions of modernism.

Historicity

The quality of being historical; the historical development and context of an event, idea, or entity.

Michel Foucault

A French philosopher and historian who explored the relationships between power, knowledge, and social institutions, and how they serve to control and define society.