Bahan Makanan

SQQM1023 Managerial Mathematics

Semester 2 Session 2012/2013

GROUP ASSIGNMENT 1
ANSWER ALL QUESTIONS IN PART A AND B.
Part A
1.

Given the function

Find
i)
ii) iii) iv)

Domain

.

2.

Determine the domain for the following functions:

3.

Mega Company plans to market a new product for RM18.50 per unit. The variable cost is
RM14 per unit and the fixed cost is RM2200. Assuming is the quantity of the product:
i)
ii) iii) 4.

Find the total cost function,
.
Find the profit function,
.
Determine whether the company will gain profit or loss if 500 units are sold.

Given the quadratic function
i)
ii)

State whether
Find -intercept.

.

has a maximum or minimum vertex. Verify your answer.

1

SQQM1023 Managerial Mathematics iii) iv)
v)
5.

Semester 2 Session 2012/2013

State whether -intercept exist or not. Explain.
Find the vertex of
.
Sketch the graph for the quadratic function.

Reza Cosmetics Company estimates that the number of customers (in thousands) that will use its new product after

months is given by

. Estimate the

maximum number of customers that will use the product.
6.

Find the value of

7.

i)

in the following equation

Complete the following table.
-0.5

-0.1

-0.01

-0.001

0.001

0.01

0.1

0.5

⁄

ii)

8.

⁄

From the table, show that

.

Given the function

Find
i)
ii)

.
.

Part B
1.

Find the equation of a straight line that has a slope of and passes through the point of intersection between

and

.
2

SQQM1023 Managerial Mathematics

2.

Given
. Find
i)
The values of and if function, ii)
The vertex of iii) The domain and range of

Semester 2 Session 2012/2013

is written in the general form of a quadratic
.

3.

The total cost for producing a unit of television is selling price is
.
i)
Find the revenue function,
.
ii)
Determine the number of units sold at the break-even point.