Math Problem Statement

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.

Solution

The question in your image asks to find the smallest value of the function F(x,y)=x2yF(x, y) = x - 2y subject to a system of constraints:

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Math Problem Analysis

Mathematical Concepts

Linear Programming
Inequalities
Optimization

Formulas

F(x, y) = x - 2y

Theorems

Linear Inequality Constraints
Feasible Region
Objective Function

Suitable Grade Level

Grade 10