Can someone give me a step by step answer on how they figured this out so I understand it PLEASE???
1 answer:
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The volume of a box is the amount of space in the box
The dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
<h3>How to determine the dimensions that minimize the cost</h3>The dimensions of the box are:
Width = x
Depth = y
So, the volume (V) is:
The volume is given as 64 cubic inches.
So, we have:
Make y the subject
The surface area of the box is calculated as:
The cost is:
--- the base is twice as expensive as the sides
Substitute
Differentiate
Set to 0
Multiply through by x^2
Divide through by 4
Add 64 to both sides
Take the cube roots of both sides
Recall that:
So, we have:
Hence, the dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
Read more about volume at:
Answer:
$1.40 more
Step-by-step explanation:
Let's say:
A costs $z
and
B costs $y
A is more expensive than B. That means z is greater than y. When we will be asked to find HOW MUCH MORE A costs than B, we will have to subtract the smaller dollar value (which is y) FROM the larger dollar value (which is z).
So, we would say A costs more than B by ($z - $y).
Similarly, in this problem, see attached image, the HAM AND CHEESE costs MORE ($4.95) than the CHEESE ONLY ($3.55). How much more??
To find this, we subtract smaller value (3.55) from the larger value (4.95). Thus we have:
Ham and cheese omelet costs $1.40 more than cheese omelet.
