A Company Produces Three Products Which Must Be Painted, Assembled

question 71

Essay

A company produces three products which must be painted, assembled, and inspected. The machinery must be cleaned and adjusted before each batch is produced. They want to maximize their profits for the amount of operating time they have. The unit profit and setup cost per batch are:
$\begin{array}{ccc}\text { Product } & \text { Profit per unit } & \text { Setup cost per batch } \\\hline 1 & 9 & 500 \\2 & 10 & 600 \\3 & 12 & 650\end{array}$
The operation time per unit and total operating hours available are:
$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\underline{\text {Operating Time per Unit}}$$\quad$$\quad$$\quad$$\quad$$\quad$$\text {Operating}$
$\begin{array}{lcccc}\text { Operation } & \text { Product 1 } & \text { Product 2 } & \text { Product 3 } & \text { Hours Available } \\\hline \text { Paint } & 1 & 2 & 2 & 400 \\\text { Assemble } & 2 & 3 & 2 & 600 \\\text { Inspection } & 2 & 4 & 3 & 540\end{array}$
Formulate the ILP for this problem.

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Definitions:

Health Benefits

Pertains to positive effects on the well-being and health status of an individual, often resulting from actions such as regular exercise, balanced diet, or proper medical care.

Meta-Analysis

A statistical technique for combining results of several studies when these studies have similar definitions of variables.

Expectancy

The state of thinking or hoping that something, especially something pleasant, will happen or be the case.

Psychoactive Drugs

Substances that, when taken into the body, alter brain function, resulting in temporary changes in perception, mood, consciousness, and behavior.