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

question 3

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
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.

-How many tractors and saws should be produced to maximize profit, and how much profit will they make?

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Definitions:

Estimated Customer Demand

An approximation of the quantity of a product or service that customers will purchase in the foreseeable future.

Lean Environment

An approach to management that focuses on reducing waste and optimizing processes to achieve more efficient operations.

Customer Orders

Requests placed by customers to purchase goods or services from a business.

Lean Environment

An operational setting focused on minimizing waste and maximizing efficiency, often via continuous improvement methodologies.