C=4x+3y Constraints: X Is Greater Than Or Equal To 0 - Algebra

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SOLUTION: Find the minimum and maximum values of the objective function subject to the given constraints. Objective Function: C=4x+3y Constraints: x is greater than or equal to 0 Algebra -> Linear-equations -> SOLUTION: Find the minimum and maximum values of the objective function subject to the given constraints. Objective Function: C=4x+3y Constraints: x is greater than or equal to 0 Log On
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Question 884657: Find the minimum and maximum values of the objective function subject to the given constraints. Objective Function: C=4x+3y Constraints: x is greater than or equal to 0 2x + 3y is greater than or equal to 6 3x - 2y is less than or equal to 9 x + 5y is less than or equal to 20 Answer by Fombitz(32388) About Me (Show Source): You can put this solution on YOUR website! First find the feasible region and vertices. 2x%2B3y%3E=6 graph%28300%2C300%2C-2%2C8%2C-2%2C8%2Cy%3E=%286-2x%29%2F3%29 . . . 3x-2y%3C=9 graph%28300%2C300%2C-2%2C8%2C-2%2C8%2Cy%3E=%283x-9%29%2F2%29 . . x%2B5y%3C=20 graph%28300%2C300%2C-2%2C8%2C-2%2C8%2Cy%3C=%2820-x%29%2F5%29 . . The vertices here were easy to find graphically but you could have solved for them algebraically also. The extrema occur at the vertices. . . . (0,2):C=4%280%29%2B3%282%29=highlight%286%29 (0,4):C=4%280%29%2B3%284%29=12 (5,3):C=4%285%29%2B3%283%29=highlight%2829%29 (3,0):C=4%283%29%2B3%280%29=12

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