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Andre45 [30]
2 years ago
7

I NEED HELP WITH THIS PLEASE!!!!!

Mathematics
1 answer:
kumpel [21]2 years ago
5 0

Answer:

nt ooooo

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Step-by-step explanation:

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19. The cost function of a product is C(Q) = 3Q² +8 and the demand function of the same product is P =1/3 Q² — 10Q + 105, where
Kamila [148]

The marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

<h3>What is a marginal cost?</h3>

It is defined as the cost showing an increase in the cost when the number of units produced increases, In simple words it is the ratio of the cost to quantity.

We have a cost function of a product:

C(Q) = 3Q² +8

a) To find the marginal cost to differentiate it with respect to Q and plug

Q = 4:

C'(Q) = 6Q

C'(4) = 6(4) = 24

b) R(Q) = P×Q

\rm R(Q) = (\dfrac{1}{3} Q^2 - 10Q + 105)Q

\rm R(Q) = \dfrac{1}{3} Q^3 - 10Q^2 + 105Q

R'(Q) = Q² - 20Q + 105

Plug Q = 4

R'(Q) = (4)² - 20(4) + 105

R'(Q) = 41

c) Marginal profit:

MP(Q)  = R(Q) - C(Q)

After calculating:

\rm MP(Q)  = \dfrac{1}{3}Q^3-13Q^2+105Q-8

MP'(Q) = Q² - 26Q + 105

Plug Q = 4

MP'(Q) = 16 - 104 + 105 = 17

Similar, we can find the maximum profit.

Thus, the marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

Learn more about the marginal cost here:

brainly.com/question/7781429

#SPJ1

3 0
2 years ago
The volume of a triangular prism is 20 cubic mm. If the dimensions were doubled, what would the new
anygoal [31]

Answer:

The new volume will be 160 mm^3

Step-by-step explanation:

The volume of a triangular prism can be calculated by multiplying the area of the triangular base by the height.

Let’s say we have the base with dimensions a and b, while the height can be h

The volume can be calculated as

V = 1/2 * a * b * h

Now , to answer this question, we shall be choosing arbitrary lengths for a, b and h. Whatever length we shall be choosing , we should make sure that they must be equal to 20 mm^3.

Let’s say we have a as 2mm , b as 4 mm and H as 5 mm

Plugging these into the equation, we surely have our volume as 20 mm^3

Now let’s double these dimensions. Our new dimensions become , 4mm by 8mm by 10mm

Plugging these new values into the equation, we have;

1/2 * 4 * 8 * 10 = 160 mm^3

Thus, our volume is expected to be increased by a factor of 8

7 0
3 years ago
you have a piggy bank containing a total of 119 coins in dimes and quarters. If the piggy bank contains $20.75, how many dimes a
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Let the number of dimes = xLet the number of quarters = y You know that each dime is worth $0.10You know that each quarter is worth $0.25 Using the variables above, we can write two equations that represents the total number of coins and total amount. x + y = 47                               eq10.10x + 0.25y = 8                    eq2 You can use the substitution/elimination method to solve for x and y.<span>3/6/2017 </span>| Michael J.<span>
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3 years ago
Compare and contrast expressions equations and inequalities
babymother [125]
Equations can have one solution, but inequalities have infinite solutions.

Hope this helps!
4 0
3 years ago
2m-1-5m+4 what is the answer?
KiRa [710]
2m-1-5m+4 

(2m-5m)-1+4&#10;&#10; &#10;   Gather \ like \ terms 

-3m-1+4 

-3m+3

8 0
3 years ago
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