Answer:
x = 2
y = -1
Step-by-step explanation:
y = 2x - 5
y = -2x + 3
2x - 5 = -2x + 3
4x = 8
x = 2
y = 2(2) - 5
y = -1
This is sometimes true because when distributing the sign could either be either minus or plus...
If you multiply a positive number with a negative number it will be negative. If you multiply a negative by a negative it will be positive. If you multiply a positive with a positive it will be positive.
The maximum value of the objective function is 31.787
<h3>How to maximize the function?</h3>
The given parameters are:
Objective function:
Max P = 4x + 5y + 21
Subject to:
y- x < 1
21x + 7y < 25
x>-2, y>-4
Rewrite the inequalities as equation
y - x = 1
21x + 7y = 25
Add x to both sides in y - x = 1
y = x + 1
Substitute y = x + 1 in 21x + 7y = 25
21x + 7x + 7 = 25
Evaluate the like terms
28x = 18
Divide both sides by 28
x = 0.643
Substitute x = 0.643 in y = x + 1
y = 0.643 + 1
y = 1.643
So, we have:
Max P = 4x + 5y + 21
This gives
P = 4 * 0.643 + 5* 1.643 + 21
Evaluate
P = 31.787
Hence, the maximum value of the objective function is 31.787
Read more about maximum functions at:
brainly.com/question/14381991
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Answer:
2 and 1
Step-by-step explanation:
1.91 - 2 decimals
2.3 - 1 decimal
