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denpristay [2]
3 years ago
10

Suppose a manufacturer sells a product as $2 per unit. If q units are sold, (a) write the total revenue function, (b) and find t

he marginal revenue function. What does the constant marginal revenue function mean?
Mathematics
1 answer:
Ahat [919]3 years ago
7 0

Answer:

We are given that  a manufacturer sells a product as $2 per unit.

Quantity = q units

So, Total revenue = \text{Cost per unit} \times quantity

Total revenue = 2q

So, the total revenue function is  2q

Marginal revenue is the derivative of the revenue functions

So, Marginal revenue = \frac{dR}{dq} =2

The marginal revenue function is 2

The constant marginal revenue function mean that the revenue earned by the addition of the output is constant.

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Answer:

The expected number of men in the delegation is 0.86.

Step-by-step explanation:

Number of men = 3

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Let X be the number of men selected. So, the possible values of X are 0,1,2.

P(X=0)=\dfrac{^3C_0\times ^4C_2}{^7C_2}=\dfrac{2}{7}

P(X=1)=\dfrac{^3C_1\times ^4C_1}{^7C_2}=\dfrac{4}{7}

P(X=2)=\dfrac{^3C_2\times ^4C_0}{^7C_2}=\dfrac{1}{7}

The expected number of men in the delegation is

E(x)=0\times P(X=0)+1\times P(X=1)+2\times P(X=2)

E(x)=0\times \dfrac{2}{7}+1\times \dfrac{4}{7}+2\times \dfrac{1}{7}

E(x)=\dfrac{6}{7}

E(x)\approx 0.86

Therefore, the expected number of men in the delegation is 0.86.

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