Mathematics 1 Deneme Sınavı Sorusu #1279220

The total cost function of A is C(x) = 3 x + 600, and the demand is p = 30 – (x / 3) ; which of the following is the maximum profit obtained through the sales of this product ?


100

129

140

118

144


Yanıt Açıklaması:

P(x) = R(x) – C(x) ; R(x) = (30 – (x / 4)) x ; P(x) = -0.25 x2 + 27 x – 600 ; P'(x) = -0.5 x + 27 = 0 ; x = 54 ; P(54) = 272 – 600 = 729 – 600 = 129. pg. 164. Correct answer is B.

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