Mathematics 1 Deneme Sınavı Sorusu #1228696 - AOF.SORULAR.NET

Mathematics 1 Deneme Sınavı Sorusu #1228696

The private electric company EsLeki supplying electric to the citizens of Eskişehir has a monthly demand of p(x)=200-3x, where x corresponds to one kilowatt hour. The cost function of the company is given by C(x)=75+80x-x2, 0?x?40. What is the value of x ?

10

20

30

40

50

Yanıt Açıklaması:

The profit function we would like to maximise is P(x)=R(x)-C(x)
R(x)=x p(x)=x ·(200-3x)=200x -3x²

so that

P(x)=-2x ² +120x-75
To find the maximum price, let us take the derivative of P(x) and equate it to zero:

P'(x)=-4x+120 = 0 ? x=30

PAYLAŞ:

SORUNUN CEVABI: C

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