The Pacific Computer Company Makes Two Models of Notebook Personal

question 3

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:
$\begin{array}{cccc}\text { Notebook } & \text { Dept. A } & \text { Dept. B } \\\text { Model } & \text { Manuf. Time } & \text { Manuf. Time }&\text { Assembly Time }\\410 & 5 & 14 & 25 \\540 & 10 & 7 & 40\end{array}$
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:

Proportion

Represents a part or fraction of a whole, usually expressed as a percentage or ratio in statistical contexts.

Unrelated Living Kidney Donation

The act of donating a kidney by a living person who has no genetic or familial relationship to the recipient.

Test Statistic

A value calculated from sample data during a hypothesis test, used to determine whether to reject the null hypothesis.

Statistically Significant

Describes a result that is unlikely to have occurred by chance alone, according to a predefined significance level.