Minimize $c = x + 2 y$ subject to
$\begin{matrix} x + 4 y \geq 18 \\ 7 x + y \geq 18 \\ x \geq 0, y \geq 0 \\ c = ◻ \\ (x, y) = (◻ \end{matrix}$

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Final Answer: $c = 10$ , $(x, y) = (2, 4)$

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Step 1 ：This is a linear programming problem. We are asked to minimize the objective function $c = x + 2 y$ subject to the constraints $x + 4 y \geq 18$ , $7 x + y \geq 18$ , 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: $c = 10$ , $(x, y) = (2, 4)$

Minimize c=x+2y subject tox+4y≥187x+y≥18x≥0,y≥0c=◻(x,y)=(◻

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Minimize $c = x + 2 y$ subject to
$\begin{matrix} x + 4 y \geq 18 \\ 7 x + y \geq 18 \\ x \geq 0, y \geq 0 \\ c = ◻ \\ (x, y) = (◻ \end{matrix}$