Answer:
A
Step-by-step explanation:
(I hope it is right)
The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
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How to s
olve the d
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Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
Learn more about dimension on:
brainly.com/question/26740257
I believe the answer is graph A.
As x increases (moving to the right), y decreases (moving down).
$64x20%=$12.80
$64-$12.80=$51.20
