Tracksaws, Inc. makes tractors and lawn mowers. The firm makes a profit of $30 on each tractor and $30 on each lawn mower, and they sell all they can produce. The time requirements in the machine shop,fabrication, and tractor assembly are given in the table.   Machine Shop Fabrication Assembly Tractor 2 hours 2 hours 1 hour Lawn Mower 1 hour 3 hours 0 hour Hours Available 60 hours 120 hours 45 hours   Formulate a linear programming model for this problem. Use the graphical method to solve this model. What is the resulting total profit?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.4: Subtracting Real Numbers
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Tracksaws, Inc. makes tractors and lawn mowers. The firm makes a profit of $30 on each tractor and $30 on each lawn mower, and they sell all they can produce. The time requirements in the machine shop,fabrication, and tractor assembly are given in the table.

 

Machine Shop

Fabrication

Assembly

Tractor

2 hours

2 hours

1 hour

Lawn Mower

1 hour

3 hours

0 hour

Hours Available

60 hours

120 hours

45 hours

 

Formulate a linear programming model for this problem. Use the graphical method to solve this model. What is the resulting total profit?

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