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....

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