Free Printable REVISION: TOPIC 3 & TOPIC 4

1.

Given average cost function is $\overline{C}\left(x\right)=2x-100+\frac{3500}{x}$ .

Find the total cost function.

a)

$C\left(x\right)=2x^2-100x+3500$

b)

$C\left(x\right)=2-\frac{100}{x}+\frac{3500}{x^2}$

c)

$C\left(x\right)=2-\frac{3500}{x^2}$

2.

Given revenue function and cost function,

$R\left(x\right)=500x-3x^2\ \ and\ \ C\left(x\right)=2x^2-100x+3500$ ,

find the profit function.

a)

$\pi\left(x\right)=400x-x^2+3500$

b)

$\pi\left(x\right)=600x-5x^2-3500$

c)

$\pi\left(x\right)=5x^2-600x+3500$

3.

Given price-demand function of a product,

$p\left(x\right)=500-3x$ .

Find the marginal revenue function.

a)

$500-6x$

b)

$500-3x$

c)

$500x-3x^2$

4.

Given profit function,

$\pi\left(x\right)=-9x^2+414x-24$

find the value of maximum profit.

a)

RM 4737

b)

RM 0

c)

RM 14 259

5.

Find market equilibrium point if given

$D\left(x\right)=32-2x^2\ \ and\ \ S\left(x\right)=2x^2+8x\$ .

a)

(2, 24)

b)

(4, 0)

c)

(4, 64)

d)

(2, 40)

6.

Given $D\left(x\right)=12-\frac{x}{5}\ \ and\ \ S\left(x\right)=\frac{x}{2}+5$ ,

choose CORRECT statements.

a)

Market Equilibrium Point

(10, 10)

b)

Consumer's Surplus

RM 10

c)

Producer's Surplus

RM 25

d)

Producer's Surplus RM 175

7.

Identify SAMPLE for the following statements.

a)

Marks of all students in a business class.

b)

The number of desks in a class of a school.

c)

50 tins from a box that contains 80 tins.

d)

Number of books read by all students in KMKN.

8.

Choose CORRECT statements of QUANTITATIVE data.

a)

Number of beds in a showroom.

b)

Types of mobile phones owned by KMKN's students.

c)

Blood types.

d)

The height of students in a class.

9.

Choose CORRECT statements for the following stem-and-leaf plot.

a)

Key: 1|5 means 15

b)

mode is 23

c)

Data is positively skewed

d)

Median is 24.5

10.

2, 8, 3, 2, 7, 10, 8, 24

Choose FALSE statement.

a)

Mode are 2 and 3

b)

Median is 7.5

c)

Third quartile is 8

d)

Interquartile range is 5

11.

12, 13, 14, 15, 16

Choose CORRECT statements.

a)

Mean is 14

b)

Median is 14

c)

Standard Deviation is 1.581

d)

Data is more dispersed and less consistent

12.

Choose CORRECT statements.

a)

mode is 3

b)

data is skew to the left

c)

data is skew to the right

d)

mode 2 and 4

REVISION: TOPIC 3 & TOPIC 4

Total questions: 12

Worksheet time: 8mins

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