Answer:
(a)
(b)
(c)R'(5400)=$394
Step-by-step explanation:
Given that x is the quantity demanded and the speaker's unit price (in dollars) is p where:
p = −0.02x + 610 (0 ≤ x ≤ 20,000)
(a)Revenue function R.
Revenue = Price X Quantity Demanded
Therefore:
R(x)=xp

(b)Marginal revenue function R'(x)
If 
Then, the marginal revenue function

(c)We want to compute R'(5,400)

From the above, we can infer that the revenue that will be generated on the sales of the 5401st item is $394.
3w = $9.25 would be the equation in this case. In order to solve it, you must divide $9.25 by 3. $9.25 / 3 = $3.83 (repeating bar over the second 3). The cost of one box of popcorn is $3.83.
Answer:
Container
will have less label area than container
by about
.
Step-by-step explanation:
A rectangular sheet of paper can be rolled into a cylinder. Conversely, the lateral surface of a cylinder can be unrolled into a rectangle- without changing the area of that surface.
Indeed, the width of that rectangle will be the same as the height of the cylinder. On the other hand, the length of that rectangle should be exactly equal to the circumference of the circles on the top and the bottom of the cylinder. In other words, if a cylinder has a height of
and a radius of
at the top and the bottom, then its lateral surface can be unrolled into a rectangle of width
and length
.
Apply this reasoning to both cylinder
and
:
For cylinder
,
while
. Therefore, when the lateral side of this cylinder is unrolled:
- The width of the rectangle will be
, while - The length of the rectangle will be
.
That corresponds to a lateral surface area of
.
For cylinder
,
while
. Similarly, when the lateral side of this cylinder is unrolled:
- The width of the rectangle will be
, while - The length of the rectangle will be
.
That corresponds to a lateral surface area of
.
Therefore, the lateral surface area of cylinder
is smaller than that of cylinder
by
.
I hope this helps you
3/12=5/x
1/4=5/x
x=4.5
x=20
The area of the flower bed is 77 square feet
<h3>How to determine the area?</h3>
The given parameters are:
- Shape = Triangle
- Perpendicular sides = 14 feet and 11 feet
The area of the flower bed is calculated as:
Area = 0.5 * Product of perpendicular sides
So, we have:
Area = 0.5 * 14 * 11
Evaluate
Area = 77
Hence, the area of the flower bed is 77 square feet
Read more about areas at:
brainly.com/question/24487155
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