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Tracksaws, Inc Formulation:
Let X = Number of Tractors Produced Per Period

Question 82

Short Answer

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  Hrs. Available 60 hours 120 hours 45 hours \begin{array} { l l l l } & \text { Machine Shop } & \text { Fabrication } & \text { Assembly } \\\hline \text { Tractor } & 2 \text { hours } & 2 \text { hours } & 1 \text { hour } \\\text { Lawn Mower } & 1 \text { hour } & 3 \text { hours } & 0 \text { hour } \\\text { Hrs. Available } & 60 \text { hours } & 120 \text { hours } & 45 \text { hours } \\\hline\end{array} Formulation:
Let x = number of tractors produced per period
y = number of lawn mowers produced per period
Let x = number of tractors produced per period
y = number of lawn mowers produced per period
MAX 30x + 30y
subject to  2x + y ? 60
    2x + 3y ? 120
    x ? 45



The graphical solution is shown below.
 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.   \begin{array} { l l l l }  & \text { Machine Shop } & \text { Fabrication } & \text { Assembly } \\ \hline \text { Tractor } & 2 \text { hours } & 2 \text { hours } & 1 \text { hour } \\ \text { Lawn Mower } & 1 \text { hour } & 3 \text { hours } & 0 \text { hour } \\ \text { Hrs. Available } & 60 \text { hours } & 120 \text { hours } & 45 \text { hours } \\ \hline \end{array}  Formulation: Let x = number of tractors produced per period y = number of lawn mowers produced per period Let 	x = number of tractors produced per period  	y = number of lawn mowers produced per period  MAX 30x + 30y  subject to  2x + y	? 60  	     2x + 3y	? 120  	    x ? 45     The graphical solution is shown below.    -What is the shadow price for fabrication?
-What is the shadow price for fabrication?

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