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Alina [70]
3 years ago
12

Suppose that the price per unit in dollars of a cell phone production is modeled by p=55−0.0125x, where x is in thousands of pho

nes produced, and the revenue represented by thousands of dollars is R=x⋅p. Find the production level that will maximize revenue.
Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Answer: At x = 2200 level of production, it will get maximum revenue.

Step-by-step explanation:

Since we have given that

p = 55-0.0125x

and Revenue function is given by

R=x.p\\\\R=x(55-0.0.125x)\\\\R(x)=55x-0.0125x^2

We will take the first derivative of it.

R'(x)=55-0.025x

Now,we will find the critical points :

55-0.025x=0\\\\0.025x=55\\\\x=\dfrac{55}{0.025}\\\\x=2200

and R''(x)=-0.025<0, so it will get maximum revenue.

Hence, At x = 2200 level of production, it will get maximum revenue.

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Louis’s bill from dinner at a restaurant is $27.62 before tax. The local tax rate is 7.5%. Louis would like to leave a 20% tip o
shtirl [24]
As Louis is only leaving a 20% tip on the pretax bill, this means he's leaving 20% of $27.62
The best thing to do is to find 10% and double it.
27.62/10= 2.76 (as it rounds down)
2.76*2= 5.52
Therefore, you've got to add $5.52 to $27.62
$5.52+$27.62= $33.14
Hope this helps :) 
4 0
3 years ago
Tell whether the two quantities vary directly. Explain your reasoning. The cafeteria provides three meals per day.
Dafna11 [192]

Answer:

The cafeteria provides three meals per day.

<u>Reason 1</u>

Yes, they vary directly  

As number of days increases ,Total number of meals i.e

1st day ⇒ 3

2nd day⇒6

3 rd day⇒9

4th day⇒12

......................

.........................

increases.

Total number of Meals = k×Number of days

But there is another possibility also

<u>Reason 2</u>

1 st day ⇒ 3

2nd day ⇒3

3rd day⇒ 3

.....................

.....................

As you can see from the above expression On each day number of meals is  

constant.

So we can say that ,

On each Day=Constant amount of meal=3

So, there is no Proportionality between Days and Meal.




3 0
3 years ago
 The volume of a cylinder is
Dima020 [189]

The volume of a cylinder is equal to \frac{1}{3}\pi  r^{2} h, where r is the radius of the cylinder and h is its height.

324 =  \frac{1}{3}\pi  r^{2} h

324 = \frac{1}{3} x 3.14 x r^{2} x 1

309.55 = r^{2}

r = \sqrt{309.55}

r = approx. 17.59 inches

I hope this answer helped you! If you have any questions, feel free to ask away.

7 0
3 years ago
HELP NOW PLEASE I GOTYA PASS
Ulleksa [173]
Following transformations on Triangle ABC will result in the Triangle A'B'C'

a) Reflection the triangle across x-axis
b) Shift towards Right by 2 units
c) Shift upwards by 6 units

In Triangle ABC, the coordinates of the vertices are:
A (1,9)
B (3, 12)
C (4, 4)

In Triangle A'B'C, the coordinates of the vertices are:
A' (3, -3)
B' (5, -6)
C' (6, 2)

First consider point A of Triangle ABC.
Coordinate of A are (1, 9). If we reflect it across x-axis the coordinate of new point will be (1, -9). Moving it 2 units to right will result in the point (3, -9). Moving it 6 units up will result in the point (3,-3) which are the coordinates of point A'. 

Coordinates of B are (3,12). Reflecting it across x-axis, we get the new point (3, -12). Moving 2 units towards right, the point is translated to (5, -12). Moving 6 units up we get the point (5, -6), which are the coordinate of B'. 

The same way C is translated to C'.

Thus the set of transformations applied on ABC to get A'B'C' are:
a) Reflection the triangle across x-axis
b) Shift towards Right by 2 units
c) Shift upwards by 6 units
5 0
3 years ago
Working out the question<br>​
Blizzard [7]

Answer: ∠AOB = 100°

Step-by-step explanation:

This is found in the circle geometry. The theorem in solving this stated that the angle which an arc of a circle subtends at the centre  of the circle is twice that which  it subtends at any point on the remaining part of the circumference of the circle

Therefore

∠AOB = 2 x ∠ACB

           = 2 x 50°

           = 100°

     

7 0
3 years ago
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