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Serjik [45]
3 years ago
14

|x+3| if x>5

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0
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Find the marginal and average revenue functions associated with the demand function P= -0.3Q + 221
LekaFEV [45]

Answer:

Marginal revenue = R'(Q) = -0.6 Q + 221

Average revenue = -0.3 Q + 221

Step-by-step explanation:

As per the question,

Functions associated with the demand function P= -0.3 Q + 221, where Q is the demand.

Now,

As we know that the,

Marginal revenue is the derivative of the revenue function, R(x), which is equals the number of items sold,

Therefore,

R(Q) = Q × ( -0.3Q + 221) = -0.3 Q² + 221 Q

∴ Marginal revenue = R'(Q) = -0.6 Q + 221

Now,

Average revenue (AR) is defined as the ratio of the total revenue by the number of units sold that is revenue per unit of output sold.

Average\ revenue\ = \frac{Total\ revenue}{number\ of\ units\ sold}

Where Total Revenue (TR) equals quantity of output multiplied by price per unit.

TR = Price (P) × Total output (Q) = (-0.3Q + 221) × Q = -0.3 Q² + 221 Q

Average\ revenue\ = \frac{TR}{Q}

Average\ revenue\ = \frac{-0.3Q^{2}+221Q}{Q}

∴ Average revenue = -0.3Q + 221

5 0
3 years ago
suppose y varies directly with x, an dy = 10 when x =3. what direct variation equations relates x and y?
Ratling [72]

The direct variation equation relates x and y is y = \frac{10}{3} x

Step-by-step explanation:

Direct variation is when one variable is equal to a constant times another variable

If y varies directly with x, then

  • y ∝ x
  • y = k x is the equation of variation
  • k is the constant of variation

∵ y varies directly with x

∵ y ∝ x

∴ y = k x

∵ y = 10 when x = 3

- Substitute these values in the equation above to find k

∴ 10 = k(3)

∴ 10 = 3 k

- Divide both sides by 3

∴ k = \frac{10}{3}

∴ The equation of variation is y = \frac{10}{3} x

The direct variation equation relates x and y is y = \frac{10}{3} x

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

8 0
3 years ago
Which is the equation of the line that passes through (6, 2) and is perpendicular to a line with slope -1/3?
Firdavs [7]

Answer:

C

Step-by-step explanation:

\frac{ - 1}{3}  \times a = -1

then

a = 3 \: where \: a \: is \: our \: line \: slope

3 0
3 years ago
Read 2 more answers
A burger place sells vanilla and chocolate shakes in two sizes, small and large. If 62% of shakes sold are vanilla flavor, 46% a
sineoko [7]

Answer:

25 gfstuhfujjjjjgredeetuu

4 0
2 years ago
I have a question if Jimmy has 3 apples and is friend ate 12 apples off a tree and jimmy eats one and then his friend (Sihera) p
Roman55 [17]

13?

Step-by-step explanation:

4 0
2 years ago
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