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:

Federal Law

encompasses laws passed by the national government of the United States.

Artisan's Lien

A legal claim granted to artisans or mechanics against the property they have serviced or improved, ensuring payment for their work.

Real Property

Land and anything permanently attached to it, such as buildings and fixtures, legally recognized as immovable.

Consensual Lien

A security interest that is agreed upon by the debtor and creditor to secure payment or performance of an obligation.