A Company Producing a Standard Line and a Deluxe Line

question 81

Essay

A company producing a standard line and a deluxe line of dishwashers has the following time requirements (in minutes) in departments where either model can be processed.
$$\begin{array} { | l | l | l | } \hline & \text { Standard } & { \text { Deluxe } } \\\hline \text { Stamping } & 3 & 6 \\\hline \text { Motor installation } & 10 & 10 \\\hline \text { Wiring } & 10 & 15 \\\hline\end{array}$$
The standard models contribute $20 each and the deluxe $30 each to profits. Because the company produces other items that share resources used to make the dishwashers, the stamping machine is available only 30 minutes per hour, on average. The motor installation production line has 60 minutes available each hour. There are two lines for wiring, so the time availability is 90 minutes per hour.
Let x = number of standard dishwashers produced per hour
y = number of deluxe dishwashers produced per hour
Write the formulation for this linear program.

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Definitions:

Thymus

A lymphoid organ situated in the neck of vertebrates that produces T-cells for the immune system, especially important during early life.

B Cells

A type of white blood cell that plays a vital role in the immune system by producing antibodies.

T Cells

A type of white blood cell that plays a critical role in the immune system, particularly in cell-mediated immunity.

INFeD

An intravenous form of iron used to treat iron deficiency anemia, especially when oral iron supplements are ineffective or cannot be used.