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:
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Answer:
Look at the explanation.
Step-by-step explanation:
Start y=-2x-3 at the Y -3 and X 0, then go up two and to the right one, like a staircase. For y=-x+3 start on Y 3 and X 0 and go down 1 x and 1 y like a downstair staircase with 1 unit down.
For the hypotenuses to be able to lie on the same line:
The tan of angle in both should be the same. That is the two triangles should be similar.
For the first triangle tanθ = 4/10 = 2/5
For the second triangle, tanθ = 12/30 = 6/15 = 2/5
Since both angles in the triangle are the same, hence, the hypotenuses of the two triangles could lie along the same line.
Answer:
Step-by-step explanation:
4.75 x 
