Select the Region Determined by the Constraints

question 230

Multiple Choice

Select the region determined by the constraints.Then find the maximum value of the objective function (if possible) and where it occurs, subject to the indicated constraints. ​
Objective function:
​
Z = 8x + 7y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + 2y ≥ 10
X + 2y ≥ 6
​

• A)​ Maximum at (0, 5): 35
• B)​ Maximum at (5, 0): 36
• C)​ Maximum at (6, 0): 48
• D)​ Maximum at (4, 1): 39
• E)​ No maximum

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Definitions:

Per Capita

A statistical measure that calculates the average per person for a given metric or statistic, typically used in the context of economic data.

Vertical Axis

The y-axis in a graph or chart, typically used to represent the range of dependent variable values.

Variability

The extent to which data points in a statistical distribution or data set diverge from the average or mean value.

Y-axis

The vertical axis in a two-dimensional graph, typically used to represent the range of values of a dependent variable.