aof.sorular.net
Mathematics 1
Mathematics 1 Deneme Sınavı
Mathematics 1 Deneme Sınavı Sorusu #1357157
Mathematics 1 Deneme Sınavı Sorusu #1357157
The demand equation for the firm Comp-M is p(x)=150-2x and the cost function is C(x)=120+60x-x2 for 0?x?40. If the government imposes a tax of 4 TL per unit quantity produced on Comp-M, what is the price that maximizes the profit?
32 |
43 |
64 |
128 |
150 |
Yanıt Açıklaması:
Since P(x)=R(x)-C(x), according to the given information we can write P(x)=(150-2x)x-(120+60x-x2 )=-x2+90x-120. Now, since there is an extra of 4 TL tax the modified profit function is P(x)=-x2+(90-4)x-120=-x2+86x-120. The price that maximizes the profit is where the derivative is zero, i.e., P' (x)=-2x+86=0 which is x=43 TL. We insert this value in the price so that p(43)=150-2·43=64 TL.
Yorumlar
- 0 Yorum