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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.
iii)
Find the profit (or loss) when 1,000 units are sold.

4.

a)
b)

5.

Solve the following equations:

Evaluate
If

i)

. The

√ without using calculator. Show your work.
, find the value of .

.

ii)
6.

A trust fund is being set up by a single payment so that at the end of 30 years there will be RM20,000 in the fund. If the interest rate is 8% compounded quarterly, how much money should be paid initially into the trust fund?

7.

Verify the following limits:
a)
b)
c)



d)
e)

3

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