For the following constraints, which point is in the feasible solution space of this maximization problem? $$\begin{aligned}
14 x + 6 y & \leq 42 \
x - y & \leq 3
\end{aligned}$$
A) x = 1, y = 5
B) x = -1, y = 1
C) x = 4, y = 4
D) x = 2, y = 1
E) x = 2, y = 8

Question

Quizplus · Accepted Answer

Plug in each point into the constraints to see if they satisfy the system: A) 14(1) + 6(5) = 44 > 42, so it does not satisfy the first constraint. B) 14(-1) + 6(1) = -8 < 42 and -1 - 1 < 3, so it satisfies both constraints. C) 14(4) + 6(4) = 80 > 42, so it does not satisfy the first constraint. D) 14(2) + 6(1) = 32 < 42 and 2 - 1 < 3, so it satisfies both constraints. E) 14(2) + 6(8) = 92 > 42, so it does not satisfy the first constraint. Thus, the only point that satisfies the constraints is D, so the answer is D.

For the Following Constraints, Which Point Is in the Feasible 14x+6y≤42x−y≤3\begin{aligned}14 x + 6 y & \leq 42 \\x - y & \leq 3\end{aligned}14x+6yx−y​≤42≤3​

For the Following Constraints, Which Point Is in the Feasible $\begin{aligned}14 x + 6 y & \leq 42 \\x - y & \leq 3\end{aligned}$