Question #316543

Raggs Limited, a clothing firm, determines that the revenue, in rand, of selling x dresses is given by the function R(x) = x(450 − 0,050x). It also determines that the total cost, in rand, of producing x dresses is given by the function C(x) = 40 000 + 0,025x2. The marginal profit when x dresses are produced and sold, is given by the function


1
Expert's answer
2022-03-25T05:07:26-0400

P(x)=R(x)C(x)=x(4500.05x)400000.025x2=0.075x2+450x40000.P(x)=R(x)-C(x)=x(450-0.05x)-40000-0.025x^2=-0.075x^2+450x-40000.

MP=dPdx=0.15x+450.MP=\frac{dP}{dx}=-0.15x+450.


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