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

question 95

Essay

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


$\begin{array} { l } \text { MAX 30x+30y } \\\qquad\text { subject to } 2 x + y \quad \leq 60 \\\qquad 2 x + 3 y \quad \leq 120 \\\qquad x \leq 45\end{array}$

The graphical solution is shown below.

-What is the range for the shadow price for assembly?

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Definitions:

Strict Rules

Rigid guidelines or principles implemented to regulate behavior or processes, often with limited flexibility and significant consequences for non-compliance.

Permissive Parents

A parenting style characterized by low demands with high responsiveness, where parents are lenient and often only step in when there's a serious problem.

Socially Competent

The ability of an individual to interact effectively with others in social contexts, adapting behaviors to suit different situations.

Controlling Behavior

Actions intended to dominate or dictate the actions, thoughts, or feelings of another person.