Minimize $c=x+2 y$ subject to
\[
\begin{array}{c}
x+4 y \geq 18 \\
7 x+y \geq 18 \\
x \geq 0, y \geq 0 \\
c=\square \\
(x, y)=(\square
\end{array}
\]

Answer

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Answer

Final Answer: $c=\boxed{10}$, $(x, y)=(\boxed{2}, \boxed{4})$

Steps

Step 1 ：This is a linear programming problem. We are asked to minimize the objective function $c=x+2y$ subject to the constraints $x+4y \geq 18$, $7x+y \geq 18$, and $x \geq 0, y \geq 0$.

Step 2 ：We can solve this problem using a method for linear programming.

Step 3 ：The optimal value of the objective function is 10.0, and the values of x and y that achieve this minimum are 2.0 and 4.0, respectively.

Step 4 ：Final Answer: $c=\boxed{10}$, $(x, y)=(\boxed{2}, \boxed{4})$

Minimize $c=x+2 y$ subject to\[\begin{array}{c}x+4 y \geq 18 \\7 x+y \geq 18 \\x \geq 0, y \geq 0 \\c=\square \\(x, y)=(\square\end{array}\]

Answer

Popular Problems

Minimize $c=x+2 y$ subject to
\[
\begin{array}{c}
x+4 y \geq 18 \\
7 x+y \geq 18 \\
x \geq 0, y \geq 0 \\
c=\square \\
(x, y)=(\square
\end{array}
\]