A total of 6,000 cartons would be needed.
<h3>Miscellaneous calculation</h3>
Cost price = k dollars
Selling price = 4k/3 dollars
Assuming k = 1 dollar
Profit per carton = 4/3 - 1 = 1/3 dollars
2000/1/3 = 6,000 cartons.
Thus, irrespective of the cost price, 6,000 cartons would be needed to generate a profit of $2,000
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Answer: I think Australia
not 100%
Explanation thats what my teacher ang google told me.
<em>To tell others not to give up on yourself or anyone elas if you like to do something and you want to keep up your dreams so you never want to give up on anything you would love to do or not do.</em>
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Since a maximum area is desired, the dimensions of the larger, outer rectangle would be equal to 96 ft and 96 ft.
<h3>How to calculate the area of a rectangle?</h3>
Mathematically, the area of a rectangle is calculated by using this formula:
A = LW
<u>Where:</u>
Since the perimeter shouldn't be larger than the available fencing, we have:
384 = 2L + 2W
2W = 384 - 2L
W = 192 - L
Now, the area becomes:
A = L × (192 - L)
A = 192L - L²
By using completing the square to find the roots, we have:
A = 192L - L²
0 = 192L - L² + 96² - 96²
0 = 96² - (L² - 192L + 96²)
0 = 9216 - (L - 96)²
L = 96 ft.
W = 192 - 96
W = 96 ft.
<h3>The dimensions of the smaller holding pens.</h3>
For the width of the smaller holding pens, we have:
Width = 96/3
Width = 31 ft.
However, the length of the smaller holding pens would remain the same as 96 feet.
Read more on rectangle here: brainly.com/question/25292087
