Question

If p =100/(Q+2) - 4 represents the demand function for a product where p is the price per unit
when q units are sold, find the marginal revenue.
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Answer 1

Answer:

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Answer 2

Answer:

The required marginal revenue function is $\frac{200}{(q+2)^{2} } -4$

Step-by-step explanation:

GIVEN DATA:

A product's demand function is provided by

$p = \frac{100}{(q+2)} -4$, where p is the price per unit, q is the number of units sold and x is the quantity demanded.

TO DETERMINE

The marginal revenue function

EVALUATION

Here, it is assumed that a product's demand function is provided by

$p = \frac{100}{(q+2)} -4$

where p is the price per unit, q is the number of units sold and x is the quantity demanded.

So revenue function = R = pq

So, $p = \frac{100q}{(q+2)} -4q$

The revenue function's derivative is the marginal revenue function,

Thus, we have

$\frac{dR}{dx} = \frac{d}{dx} ( \frac{100q}{(q+2)} -4q) = \frac{200}{(q+2)^{2} } -4$

Hence, the required marginal revenue function is $\frac{200}{(q+2)^{2} } -4$

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