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| |FAKULTI EKONOMI DAN PERNIAGAAN |
| |UNIVERSITI MALAYSIA SARAWAK |
| |94300 KotaSamarahan |
| |Sarawak |
| |EBQ1043 BUSINESS MATHEMATICS |
| |ASSIGNMENT 1 |

INSTRUCTIONS TO STUDENTS
Students are required to prepare solutions before coming to tutorial class. You are requested to submit your solutions to your Tutor in the class.

Section A: Multiple Choice Questions

1. Classify as to type. (For example,[pic]is rational and real, where as [pic] is irrational and real.)
|a. |rational |
|b. |integer |
|c. |irrational |
|d. |whole |

2. State the real number property that justifies the statement.

|a. |Distributive law for multiplication with respect to addition |
|b. |Commutative law of addition |
|c. |Inverse law of addition |
|d. |Associative law of addition |

3. State the real number property that justifies the statement.

|a. |Inverse law of addition |
|b. |Associative law of addition |
|c. |Distributive law for multiplication with respect to addition |
|d. |Identity law of addition |

4. Evaluate the expression.
|a. |7776 |c. |16807 |
|b. |7786 |d. |46656 |

5. Evaluate the expression.

|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |

6. Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

|a. |(- 3, 7); Quadrant II |
|b. |(3, 7); Quadrant I |
|c. |(- 3, - 7); Quadrant IV |
|d. |(- 3, - 7); Quadrant III |

7. Which point has a negative x-coordinate and a negative y-coordinate?

|a. |B |
|b. |C |
|c. |A |
|d. |None of the Above |

8. Determine whether x = 3y – 9 defines y as a linear function of x. If so, write it in the form y = mx + b .

|a. |[pic] |
|b. |[pic] |
|c. |[pic] |
|d. |y is not a linear function of x |

Section B: Structure

1. Evaluate the expression.

2. Perform the indicated operations and simplify the expression.

3. Factor out the greatest common factor.

4. Factor the polynomial.

5. Simplify the expression.

6. Simplify the expression,writing your answer using positive exponents only.

7. Solve the equation by using the quadratic formula.

8. Find the minimum cost C (in dollars) given that [pic].

9. Find the slope of the line that passes through the given pair of points.

([pic] 1, 2) and (3, 4)

10. Find the slope of the line that passes through the pair of points.

[pic]and[pic]

11. If the line passing through the points (2, a) and (5, - 3) is parallel to the line passing through the points (4, 8) and (- 5, a + 1) , what is the value of a?

12. Find an equation of the line that passes through the point (7, 6) and has the slope m =. [pic]

13. Determine the value of k for which the system of linear equations has no solution. [pic]

14. Formulate but DO NOTsolve the problem.

The Johnson Farm has 600 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (including seeds and labor) is $51 and $25/acre, respectively. Jacob Johnson has $20,200 available for cultivating these crops. If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant? Let x be the number of acres allotted for cultivating corn.

15. Find the break-even point for the firm whose cost function [pic] and revenue function [pic] are given.

[pic]; [pic]

-----------------------
[pic]

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