A Leather Goods Factory Manufactures Five Styles of Handbags, Whose

question 63

Essay

A leather goods factory manufactures five styles of handbags, whose variable contributions
are $30, $40, $45, $25, and $60 per dozen, respectively. The products must pass through four work centers and the man-hours available in each are: clicking (700), paring (600), stitching (400), and finishing (900). Hourly requirements for each dozen handbags are:

To prevent adding to inventory levels already on hand, the production manager, after reviewing the weekly sales forecasts, has specified that no more than 100, 50, 90, 70, and 30 dozen of each style respectively may be produced. Each handbag is made from five materials as specified in the following table:

Formulate a linear program to determine the production policy that will maximize profits.

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Definitions:

Plant Domestication

The process by which wild plants have been evolved into crop plants through artificial selection and genetic modification by humans, often to enhance traits like yield, taste, and resilience.

Coding System

A method used for categorizing, labeling, or encoding information for easy identification, organization, and retrieval.

Inca

A South American indigenous empire with an advanced society, thriving in what is now Peru from the 13th to the 16th century until the Spanish conquest.

Hydraulic Theory

A theory suggesting that the development and maintenance of a civilization is closely linked to its ability to create and manage large-scale water control systems.