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?

---

Definitions:

Treaty of Cateau-Cambresis

A series of agreements signed in 1559, ending the conflict between the French Valois and Spanish Habsburgs.

Henry II

A King of England from 1154 to 1189, known for legal reforms that laid the basis for the English common law system.

Albrecht Wallenstein

A prominent military leader and mercenary during the Thirty Years' War, known for his strategy, leadership, and complex allegiances, influencing the outcome of numerous battles.

Protestantism

A branch of Christianity that originated with the Reformation, a movement against what its followers considered to be errors in the Roman Catholic Church.