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Find the Maximum and Minimum Values of the Objective Function C=8x+4y+7C = 8 x + 4 y + 7

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Find the maximum and minimum values of the objective function C=8x+4y+7C = 8 x + 4 y + 7 on the region in the figure.  Find the maximum and minimum values of the objective function  C = 8 x + 4 y + 7  on the region in the figure.   A)  The maximum is  19  at  ( 0,3 )   , The minimum is  19  at  ( 0,3 )   . B)  The maximum is  51  at  ( 4,3 )   , The minimum is  19  at  ( 0,3 )   . C)  The maximum is  3  at  ( 2,4 )   , The minimum is  19  at  ( 0,3 )   . D)  The maximum is  20  at  ( 4,3 )   , The minimum is  19  at  ( 0,3 )   . E)  The maximum is  67  at  ( 7,1 )   , The minimum is  19  at  ( 0,3 )   .

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Definitions:

Population Standard Deviation

A measure of the dispersion or variability of a set of data points in a population, quantifying how much the data points differ from the population mean.

Simple Random Sampling

A sampling method in which each member of a population has an equal chance of being selected.

Subset

A part of a larger set of data, where the elements of the subset are also contained within the larger set.

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