Find the value of y when x equals -7. -3x+6y=-21
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Answer:
The maximum value of the objective function is 112 when x = 0 and y = 7.
Step-by-step explanation:
Given the constraints:
5x+3y≤37, 3x+5y≤35, x≥0, y≥0
Plotting the above constraints using geogebra online graphing tool, we get the solution to the constraints as:
A(0, 7), B(7.4, 0), C(5, 4) and D(0, 0)
The objective function is given as E =2x+16y, therefore:
At point A(0, 7): E = 2(0) + 16(7) = 112
At point B(7.4, 0): E = 2(7.4) + 16(0) = 14.8
At point C(5, 4): E = 2(5) + 16(4) = 74
At point D(0, 0): E = 2(0) + 16(0) = 0
Therefore the maximum value of the objective function is at A(0, 7).
The maximum value of the objective function is 112 when x = 0 and y = 7.
The solution to the system of inequality expression is 1 < x < 10
Inequality expressions are expressions not separated by an equal sign
Given the inequality expressions
- 4x – 2 < -6 and - 4x – 2 > -42
For the inequality - 4x – 2 < -6
- 4x – 2 + 2 < -6 + 2
-4x < -4
x > 1
For the inequality - 4x – 2 > -42
- 4x – 2 + 2> -42 +2
-4x > -40
x < 10
Combining both inequality solutions:
1 < x < 10
Hence the solution to the system of inequality expression is 1 < x < 10
Representing on the number line we have:
Learn more here: brainly.com/question/6874464
