Fodak Must Schedule Its Production of Camera Film for the First

question 42

Essay

Fodak must schedule its production of camera film for the first four months of the year. Film demand (in 1,000s of rolls) in January, February, March and April is expected to be 300, 500, 650 and 400, respectively. Fodak's production capacity is 500 thousand rolls of film per month. The film business is highly competitive, so Fodak cannot afford to lose sales or keep its customers waiting. Meeting month i 's demand with month i +1's production is unacceptable.
Film produced in month i can be used to meet demand in month i or can be held in inventory to meet demand in month i +1 or month i +2 (but not later due to the film's limited shelflife). There is no film in inventory at the start of January.
The film's production and delivery cost per thousand rolls will be $500 in January and February. This cost will increase to $600 in March and April due to a new labor contract. Any film put in inventory requires additional transport costing $100 per thousand rolls. It costs $50 per thousand rolls to hold film in inventory from one month to the next.
a.
Modeling this problem as a transshipment problem, draw the network representation.
b.
Formulate and solve this problem as a linear program.

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Definitions:

Composition

A term referring to the arrangement or makeup of something's parts or elements, often used in contexts ranging from music to writing, and to the chemical makeup of substances.

Maladaptation

Behavior or traits that are counterproductive to an individual's well-being or survival in a particular environment.

Discipline

The practice of training people to obey rules or a code of behavior, using punishment to correct disobedience.

Inspecting

The process of examining something closely in order to gain information.