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The price-demand function for the production of television sets is given by [tex]p(x) = 100 - 25x[/tex], where [tex]0 \leq x \leq 200[/tex].

Choose the correct revenue function.

A. [tex]R(x) = 100x - 25x^2[/tex]

B. [tex]R(x) = 100x - 25[/tex]

C. [tex]R(x) = 100x^2 - 25[/tex]

D. [tex]R(x) = 100 + 25x^2[/tex]

Answer :

The correct revenue function is R(x) = 100x - 25x^2.

The price (p) is multiplied by the quantity (x) to get the revenue function. To determine the correct revenue function.

we can substitute the price-demand function p(x) = 100 - 25x for p in the revenue function formula.

The correct revenue function is R(x) = 100x - 25x2, since R(x) = x * p(x) R(x) = x * (100 - 25x) R(x) = 100x - 25x2

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