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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

A Leather Goods Factory Manufactures Five Styles of Handbags, Whose