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:

Money Supply

The entirety of monetary resources accessible in an economy during a specific period.

Rational

Characterized by clear and logical thinking, often with regard to fulfilling one's personal goals or making decisions based on empirical evidence and reasoning.

Unemotional Self-interest

Refers to actions motivated purely by personal gain without regard to emotions or moral considerations.

Q

Generally denotes quantity in economic and mathematical models, referring to the amount of goods or services.