Mathematics 1 Deneme Sınavı Sorusu #1279151

The demand for A is q = 600 – 0.02 p2 , (0 ? p ? 250). Which of the following is the value of p for which the demand is of unit elastic ?


60

80

100

75

45


Yanıt Açıklaması:

Ep = |(p / q) (dq / dp)| = 1 for unit elastic ; dq / dp = -0.04 p ; Ep = |(p / (600 – (0.02 p2))) (-0.04 p)| = 1 ; p / (600 – (0.02 p2)) (-0.04 p) = 1 ; 0.04 p2 / (600 – 0.02 p2) = 1 ; 0.06 p2 = 600 ; p2 = 10.000 ; p = 100 . pg. 166. Correct answer is C.

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