1) Find the values of x for which the function f(x) = x 3 12x + 6 has turning points. Determine for each of the points whether it is a minimum or maximum point.

[1] x = 3,46 (maximum); x = 3,46 (minimum)

[2] x = 0 (minimum); x = 6 (maximum)

[3] x = 3 (minimum); x = 3 (maximum)

[4] x = 2 (maximum); x = 2 (minimum)

These questions are based on the following information:

The demand function for a good is given by P = 2,5Q + 500, where P is price and Q quantity.

2)The price and quantity for which total revenue is a maximum, are

[1] P = 0; Q = 200.

[2] P = 100; Q = 160.

[3] P = 250; Q = 100.

[4] P = 300; Q = 80.

3) Determine the price elasticity of demand at maximum total revenue. What does this value mean?

[1] = 1; 1% price increase causes 1% decrease in demand - no effect on total revenue

[2] = 0,4; 1% price increase causes T R to decrease by 0,4%

[3] = 0,4; 1% price increase causes demand to increase by 0,4%

[4] = 1; change in price will have no effect on demand

These questions are based on the following information:

The demand and supply functions for a certain product are given by Pd = 35 Q 2 and Ps = 3 + Q 2 , with P representing price and Q quantity.

4)At equilibrium price and quantity are

[1] P0 = 4; Q0 = 19.

[2] P0 = 19; Q0 = 4.

[3] P0 = 22; Q0 = 4,4.

[4] P0 = 259; Q0 = 16.

5)Find the consumer surplus at equilibrium.

[1] CS = 4 949,33

[2] CS = 1 697,33

[3] CS = 142,21

[4] CS = 42,67