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The question in your image asks to find the smallest value of the function \( F(x, y) = x - 2y \) subject to a system of constraints:

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Find the smallest value of the function F(x, y) = x - 2y subject to the constraints:
0 ≤ y ≤ 5, x ≥ 0, x + y - 2 ≥ 0, x - y - 2 ≤ 0.

This problem involves minimizing the function F(x, y) = x - 2y subject to several linear constraints. Learn how to determine the feasible region and find the minimum value of the function using optimization techniques. Suitable for Grade 10 students.

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