Question
A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit, in rupees, must be p(x)-1000-x. The manufacturer also determines that the total cost of producing x units is given by C(x)-3000+20x.
a) Find the total revenue R(x).
Answer :
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The total revenue (R(x)) is calculated by multiplying the number of units sold (x) by the price per unit (p(x)). Here, the price function is given as (p(x) = 1000 - x). Therefore, [ R(x) = x \cdot p(x) = x \cdot (1000 - x) ] Expanding this, we
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