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

question 43

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.
$$\begin{array} { l l l l } & \text { Machine Shop } & \text { Fabrication } & \text { Assembly } \\\hline \text { Tractor } & 2 \text { hours } & 2 \text { hours } & 1 \text { hour } \\\text { Lawn Mower } & 1 \text { hour } & 3 \text { hours } & 0 \text { hour } \\\text { Hrs. Available } & 60 \text { hours } & 120 \text { hours } & 45 \text { hours } \\\hline\end{array}$$ 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.

-Determine the sensitivity range for the profit for tractors.

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Definitions:

Installation

The process of setting up or fitting equipment, software, or hardware for it to be ready for use.

Conditional Sales Contracts

Agreements that transfer the possession of goods from the seller to the buyer, but not legal ownership until certain conditions, typically final payment, are met.

Sale-on-approval

A transaction in which goods are delivered to a buyer with the understanding that the sale becomes final only if the buyer approves or is satisfied with the products.

Sale-or-return

A commercial arrangement where goods are delivered to a buyer who has the right to return the goods if they are not sold, within a stipulated period.