To find the minimum value of the expression (6x + 10y) in a feasible region, you need to identify the constraints defining that region. Typically, the minimum occurs at one of the vertices of the feasible set formed by these constraints. By evaluating the objective function (6x + 10y) at each vertex, you can determine which one gives the lowest output, thus identifying the minimum value. If you provide the specific constraints, I can help you find the exact minimum.
25
2y-10y
No question has been posed.If you'd like to know what value of 'y' makes the statement true, you can find it as follows:10y - 4 = 24Add 4 to each side:10y = 28Divide each side by 10:y = 2.8
10y-4y = 6
10y = x ======
maximum value of 6y+10y
25
2y-10y
No question has been posed.If you'd like to know what value of 'y' makes the statement true, you can find it as follows:10y - 4 = 24Add 4 to each side:10y = 28Divide each side by 10:y = 2.8
10y-4y = 6
10x-10y = 0
10y = x ======
Treat it as a simultaneous equation question: -2x-10y = -12 3x+y = 4 Multiply all terms in the bottom equation by 10 in order to eliminate y: -2x-10y = -12 30x+10y = 40 Add both equations together: 28x+0 = 28 Divide both sides of the equation by 28 to find the value of x: x = 1 Substitute the value of x into the original equations to find the value of y: x = 1 and y = 1
10y=15y=1.5
8x - 10y = 27x - 5y = 13First, we need to eliminate one of the variables. For this, we would like to have them with the same coefficient but different sign. We can do this if we multiply by -2 the second equation.8x - 10y = 2-2(7x - 5y) = -2(13)8x - 10y = 2-14x +10y = -26Now, we can add both equations, and solve for x.(8x - 10y) + (-14x + 10y) = (2) + (-26)(8x - 14x) +(-10y + 10y) = (2 - 26)-6x = - 24-6x/-6 = - 24/-6x = 4Substitute 4 for x in the first equation:8x - 10y = 28(4) - 10y = 232 - 10y = 232 - 32 - 10y = 2 - 32-10y = -30-10y/-10 = -30/-10y = 3Thus, the solution of the system is (4, 3).Check:
You're there. 4x = 10y - 8.[so subtract 10y from both sides, 4x - 10y = -8]multiply b.s. by -1 , gives -4x +10y = 8
-6 - 10y = -10 Add 6 to both sides: -10y = -4 Divide both sides by -4: y = -4/-10 = 4/10 = 0.4 Check by putting the value back into the equation: -6 - (10 x 0.4) = -6 -4 = -10