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.

---

Definitions:

Statement of Comprehensive Income

A financial statement that shows all changes in equity during a period, including items not reflected in the net income.

Income Statement

A financial statement that reports a company's financial performance over a specific accounting period, detailing revenue and expenses.

Prior-Period Adjustments

Corrections of errors in previously issued financial statements for periods prior to the issuance of the current financial statements.

Net Income

The net income of a business, which is the amount remaining from total revenue after deducting all costs and taxes.