Question $1$

$0/1$ pts

The point $3,45$satisfies

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none of the constraint.

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only one constraint.

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only two constraints.

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all three constraints.

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none of the above.

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Question $2$

$1/1$ pts

Assigning a value of $40$ to the objective function, i$.$e$.,$ making$4$x$1+10$x$2=40,$ the line for the objective function goes through the following two points

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$(10,0)$ and $(4,0)$

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$(10,0)$ and $(0,4)$

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$(0,10)$ and $(0,4)$

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$(0,10)$ and $(4,0)$

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none of the above

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IncorrectQuestion $3$

$0/1$ pts

The feasible region of this problem

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is unbounded.

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is a straight line segment.

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contains the origin.

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all of the above.

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none of the above.

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IncorrectQuestion $4$

$0/1$ pts

This problem

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does not have a feasible solution.

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has alternative optimal solutions.

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has an unbounded objective function.

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has a unique, i$.$e$.,$ a single, optimal solution.

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none of the above.

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IncorrectQuestion $5$

$0/1$ pts

The point $(15/7,8/7)$ is

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feasible but not optimal.

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infeasible.

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an optimal solution.

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not an intersection point.

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none of the above.

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IncorrectQuestion $6$

$0/1$ pts

The point $212,1$ is

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feasible.

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on the boundary of the feasible region.

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optimal.

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all of the above.

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none of the above.

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$$

IncorrectQuestion $7$

$0/1$ pts

The point $(2,1)$ satisfies

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the first constraint but not the other two.

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the second constraint but not the other two.

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the third constraint but not the other two.

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all three constraints.

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none of the above.

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IncorrectQuestion $8$

$0/1$ pts

The point $(1,3)$

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satisfies all three constraints.

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satisfies the first and second constraints but not the third.

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satisfies the first and third constraints but not the second.

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satisfies the second and third constraints but not the first.

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none of the above.

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IncorrectQuestion $9$

$0/1$ pts

The following solutions are optimal

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$(15/7,8/7)$

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$(5,0)$

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$(4,2/5)$

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all of the above

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none of the above

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Question $10$

$1/1$ pts

The optimal objective function value is

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$20$

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$6$

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$0$

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$15/7$

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$8/7$