Car Phones, Inc

question 102

Essay

Car Phones, Inc. (CP), sells two models of cell phones: Model A and Model B. Records show that 3 hours of sales time are used for each Model A cell phone that is sold and 5 hours of sales time for each Model B telephone. A total of 600 hours of sales time is available for the next 4-week period. In addition, management planning policies call for minimum sales goals of 100 units for Model A and 80 units for Model B. Furthermore, the number of phones that CP makes is limited by its critical process, the plastic injection molding machine, which can produce a maximum of 1500 phones per 4-week period. CP makes a $40 profit contribution for each Model A sold and a $50 profit contribution for each Model B sold. Formulate a Linear Program that can be used to determine the optimal production amounts CP for the next 4-week period.

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Definitions:

IR Absorption

A phenomenon where molecules absorb infrared radiation at specific wavelengths, corresponding to vibrations of their chemical bonds; used in spectroscopy for molecule identification.

Characteristic Stretch

The specific frequency at which molecular bonds stretch during IR absorption, indicative of certain functional groups.

Characteristic Stretch

Specific vibrations in molecules, observed in infrared spectroscopy, that are associated with particular functional groups and bonds within the molecule.

Mass/Charge

The ratio of an ion's mass to its charge, often used in mass spectrometry for ion identification.