A Singapore Company Manufactures 50-Inch and 75-Inch Rear Projection Television

question 1

Essay

A Singapore company manufactures 50-inch and 75-inch rear projection television sets.Each 50-inch set contributes $200 to profits and each 75-inch set contributes $475 to profits.The company has purchase commitments for 500 50-inch sets and 200 75-inch sets for the next month so they want to make at least that many.Although they think they can sell all the 50-inch sets that they could currently make, they do not think they can sell more than 375 75-inch sets.Their factory capacity allows them to make only 975 sets of both sizes total.They want to know how many of each type to make so as to maximize profits.
a.What is the objective function for this LP problem?
b.What are the constraints involving X1, assuming that X1 corresponds to 50-inch TV sets?
c.What is the optimal solution point for this problem?
d.What is the optimal value of the objective function?

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Definitions:

Genetic Predisposition

The heightened probability of contracting a specific disease due to an individual's genetic composition.

Slow-Wave Sleep

A phase of deep sleep characterized by delta wave activity, essential for physical rest and recovery.

NREM Sleep

Non-Rapid Eye Movement sleep, characterized by slower brain waves, which is divided into three stages and accounts for 75-80% of total sleep time.

Ascending Fibres

Nerve fibers that carry information from the body's sensory receptors upward to the brain, particularly pertinent to the sensory pathways.