Mathematics for Economics Cup

Name of your lecturer is ...

• Valentino Rizali

• Valentino Risali

• Valentoni Rizali

• Valention Risali

Given an equation system: 2x+y=6 -3x+2y=4 The intersection is

• (8/7, 26/7)
• (-8/7, 26/7)
• (26/7, 8/7)
• (-26/7, 8/7)

Function f ‘(x)= -0.75x+3 is the first derivative of function f. Statements below are correct, EXCEPT

• f attains maximum at x=4
• f attains minimum at x=4
• f is increasing on interval x ≤ 4
• f is decreasing on interval x ≥ 4

Given a function g ‘(x)=|x-2| to be the first derivative of function g. Which of the following statements is incorrect?

• The minimum value of g ‘(x) is 0
• Function g is increasing on interval x>=0
• Point x=2 is a saddle point
• g attains maximum at x=2

Given function f(x) = -3x^2+6x-5. Choose correct answer(s)

• On interval [0,3], f attains maximum at x = 1
• On interval [0,3], f attains minimum at x= 3
• On interval [-1,0], f attains maximum at x= 0
• On interval [4,5], f attains minimum at x= 4

Gambar grafik berikut, yaitu y'=f'(x)=0.25x^2(x-3)(x+2), merupakan turunan tingkat pertama dari fungsi y=f(x). Pilih semua pernyataan yang benar

• f naik pada saat x<=-2 dan x>=3

• f turun pada -2 <= x <=3

• f mencapai titik minimum relatif pada titik x=3

• f mencapai titik maximum relatif pada titik x=0

Given a function h’(x)=(x-3)^2(x-1) to be the first derivative of function h. Choose correct answer(s)

• x=3 is an inflection point
• h attains minimum at x=1
• h attains maximum at x=3
• h is increasing when x < 1

National hero (navy) who related to KRI MAcan tutul and died in Aru Sea War

• I Gusti Ngurah Rai

  
  

• Hasanuddin

  
  

• Yos Sudarso

  
  

• Diponegoro

  
  

Assume that the price per unit, P(Q), varies with Q according to formula P(Q)=100 - 1/3 Q and producer has maximum production 300 units. The cost function is C(Q)=1/600 Q^3 – 1/3 Q^2+50 Q+1000/3. The maximum profit is …

• 2500
• 3000
• 3500
• 4000