Solve for x.<br> 163 - x= -52<br> O A r = -215<br> B. X=-111<br> C. x = 111<br> D. x = 215

If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price

Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

$P = 170 - Q$

The Marginal cost is given by

$MC = 52$

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

$TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2$

The Marginal revenue is the derivative of the Total revenue,

$MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\$

Assuming that the monopolist maximizes profits,

$MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59$

Therefore, the quantity is 59 units.

The price of each good is

$P = 170 - Q \\\\P = 170 - 59 \\\\P = 111$

Therefore, the price is $111.

3 0

3 years ago

Find g'(t) for the function g(t) = 7/t^4

Alex17521 [72]

The differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

<h3>What is differentiation?</h3>

The method of determining the derivative, or rate of change, of a function in mathematics.is termed as the differentiation.

Given that:-

$g(t)= \dfrac{7}{t^4}$

The derivative will be calculated as:-

$g'(t)=7 \dfrac{d}{dt}(t^{-4})\\\\\\g'(t)=7\times (-4t^{-5})\\\\\\g'(t)=\dfrac{-28}{t^5}$

Therefore the differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

To know more about derivatives follow

brainly.com/question/954654

#SPJ1

3 0

2 years ago

What is the value of x in the equation 8x – 2y = 48, when y = 4?

morpeh [17]

Answer:

x = 7

Step-by-step explanation:

since we know y = 4, we can plug this into the equation to find x

8x - 2y = 48

8x - 2(4) = 48

8x - 8 = 48

8x = 56

x = 7

4 0

2 years ago

Read 2 more answers

A catering company loses $110 as a result of delay. The 5 owners of the company must share the loss equally. Which integer repre

san4es73 [151]

What you have to do first is you have 5 owners correct? Well you take anything they're sharing in this case it's delay/debt, so you divide $110 by 5 and you should get $22. This means that each owner would have to pay $22 to the delay.

3 0

3 years ago

Read 2 more answers

The perimeter of a triangle is 22cm. If one of the sides is 9cm,find the other sides if the area of the triangle is 20.976cm2

Mekhanik [1.2K]

Answer:

Third side = 8.34 cm

Step-by-step explanation:

Given that,

The perimeter of a triangle, P = 22 cm

One side of a triangle, b = 9 cm

The area of the triangle, A = 20.976 cm²

The formula for the area of a triangle is given by :

$A=\dfrac{1}{2}\times b\times h\\\\h=\dfrac{2A}{b}\\\\h=\dfrac{2\times 20.976}{9}\\\\h=4.66\ cm$

Perimeter = Sum of all sides

9 cm + 4.66 cm + x = 22

x = 22 - 13.66

x = 8.34 cm

So, the third side of the triangle is 8.34 cm.

8 0

2 years ago

Solve for x. 163 - x= -52 O A r = -215 B. X=-111 C. x = 111 D. x = 215