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VARVARA [1.3K]
3 years ago
11

Need help asappppppp

Mathematics
1 answer:
Reika [66]3 years ago
4 0

Answer:

press control u on ur google forms quiz than scroll all the way down to the questions and the answer should be right next to them.

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A monopolist faces the demand function P = 140 − 2Q, with P denoting the market price and Q denoting the quantity demanded.
devlian [24]

Answer:

a) The profit function is P(Q)= -13Q^3 +8Q^2-44Q

b) The derivative of the profit function is P \,'(Q)=-39Q^2 +16Q-44

c) There are no values for Q where P \, '(Q)= 0.

Step-by-step explanation:

The Profit function is defined as the difference between Revenue function and Cost function, where the Revenue function is defined as the price times the number of products.

So starting with the revenue we have:

R(Q)=PQ

where P is the market price and Q the quantity demanded, using the demand function we can write:

R(Q)=(140-2Q)Q

a) Thus the Profit function is

P(Q)=R(Q)-C(Q)\\\\P(Q)=140Q-2Q^2 -(13Q^3-10Q^2 +188Q)\\\\P(Q)=140Q-2Q^2 -13Q^3+10Q^2-188Q\\\\P(Q)= -13Q^3 +8Q^2-44Q

b) We can determine the derivative of the profit function using the result on part a).

P(Q)= -13Q^3 +8Q^2-44Q\\P \,'(Q)=-39Q^2 +16Q-44

c) We can set the profit function equal to 0

P \, '(Q)= 0

-39 Q^2 + 16 Q - 44 =0

Since we cannot factor we will have to use quadratic formula.

Q = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}

where the coefficients are

a=-39\\b = 16\\ c=-44

So we get

Q = \cfrac{-16\pm \sqrt{16^2-4(-39)(-44)}}{2(-39)}

Notice that we get a negative number inside the square root if we evaluate it.

Q = \cfrac{-16\pm \sqrt{-6608}}{2(-39)}

Since we get a negative number inside the root, then there are no real values of Q where the derivative of the profit function is equal to 0.

3 0
3 years ago
Find the solutions to the equation below.<br> 2x2 + 7x + 3 = 0
zmey [24]

Answer:

x = -1/2 and x = -3

Step-by-step explanation:

2x² + 7x + 3 = 0

Using AC method:

2 × 3 = 6

Factors of 6 that add up to 7: 1 and 6

Divide by 2 and reduce: 1/2, 6/2 = 3/1

The factors are (2x + 1) and (x + 3)

(2x + 1) (x + 3) = 0

2x + 1 = 0

x = -1/2

x + 3 = 0

x = -3

The solutions are x = -1/2 and x = -3.

3 0
3 years ago
Read 2 more answers
What is the equation of the line in slope intercept form?
Debora [2.8K]
The correct answer is D. Y=-1/3x-7
you can also look this up on desmos.com/calculator to be 100% sure!

i got D because the y-axis hits on -7 and the slope is negative so it can’t be A. it can’t be B either because the y-intercept is a +7. and it can’t be C because when doing rise/run, the slope isn’t going up/down 3. it is going up/down 1 and over 3.
3 0
3 years ago
How do you write 180% as a fraction or mixed number in simplest form?
Zigmanuir [339]
180% would be written as 1 4/5 in simplest form
8 0
3 years ago
harpers house is 30 feet wide and 45 feet long on a scale drawing the house is 4 inches wide and 6 inches long and harpers bedro
Masteriza [31]
Harpers bedroom is 9 feet wide and 12 feet long
8 0
3 years ago
Read 2 more answers
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