A company manufactures office furniture and is currently planning its production for the day. The company has almost all the parts needed for its production in stock, but it has a low number of drawers. It manufactures three types of table: I. the first type requires 2 hours of manufacture and 1 hour of assembly and uses 2 drawers; II. the second requires 1 hour of manufacture, 1 hour of assembly and takes 4 drawers; III. the third needs 4 hours of manufacture, 2 hours of assembly and has only one drawer. The firm has 21 hours of manufacturing, 11 hours of assembly and 15 drawers available for that day. Determine the number of tables of each type that should be produced on this day in an optimal way, that is, using the total available resources. Note: Solve the corresponding linear system using Scheduling or Cramer Rule (if possible) showing the details of the development.
A company manufactures office furniture and is currently planning its production for the day. The company has almost all the parts needed for its production in stock, but it has a low number of drawers. It manufactures three types of table:
I. the first type requires 2 hours of manufacture and 1 hour of assembly and uses 2 drawers;
II. the second requires 1 hour of manufacture, 1 hour of assembly and takes 4 drawers;
III. the third needs 4 hours of manufacture, 2 hours of assembly and has only one drawer.
The firm has 21 hours of manufacturing, 11 hours of assembly and 15 drawers available for that day. Determine the number of tables of each type that should be produced on this day in an optimal way, that is, using the total available resources.
Note: Solve the corresponding linear system using Scheduling or Cramer Rule (if possible) showing the details of the development.
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