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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
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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