The Pacific Computer Company Makes Two Models of Notebook Personal

question 20

Essay

The Pacific Computer Company makes two models of notebook personal computers: Model 410 with CD-ROM drive, and Model 540 with DVD drive. Profits on each model are $100 and $150, respectively. Weekly manufacturing data in minutes) are given below:
$$\begin{array} { l c c c } \text { Notebodk } & \text { Dept. A } & \text { Dept. B } \\\text { Model } & \text { Mamuf. Time } & \text { Manuf. Time } & \text { Assembly Time } \\\hline 410 & 5 & 14 & 25 \\540 & 10 & 7 & 40\end{array}$$
Manufacturing time available in department A for the coming week is 300 minutes, and for department B it is 420 minutes. Total time available during the week to assemble the fabricated units is 1600 minutes.
a. What is the objective function if the company wants to maximize profits?
b. What is the constraint corresponding to Department A assuming X1 corresponds to Model 410?
c. What is the optimum solution point for this problem?
d. What is the maximum possible total profit?

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Definitions:

Economic Theory

A framework or set of principles formulated to analyze the economy and make predictions about various economic scenarios.

Rational Self-Interest

A theory that suggests individuals always make decisions that they perceive to be in their own best interest.

Pure Selfishness

an ethical or philosophical perspective prioritizing self-interest or personal gain above the welfare of others.

Charitable Contributions

Money or goods given to organizations for the purpose of helping people or supporting societal, educational, religious, or other charitable activities.