What is the minimum value of 3x + 5y in the feasible region? (0, 7), (3, 7), (6, 3), (6, 0)

The minimum value is

It occurs at

Step-by-step explanation:

The given objective function is

The vertices of the feasible region are .

We plug in the vertices in to feasible region and evaluate to obtain,

The minimum value is

It occurs at

Step-by-step explanation:

The given objective function is

The vertices of the feasible region are .

We plug in the vertices in to feasible region and evaluate to obtain,

i think the correct option is the second option.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.