King Fahd University Of Petroleum & Minerals

Mathematical sciences Department

 

 

 

Term: 032

 

Math 131 – Finite Mathematics

 

Time allowed :90 minutes

Name:                                                                ID#:                            Serial:

 

 

 

 

 

Question

Full Mark

Student mark 

1

5

 

2

5

 

3

10

 

4

10

 

5

10

 

6

10

 

Total

50

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Question 1 :( 5 Points)

A total of $18,000 is invested, some in stocks and some in bonds. If the amount invested in bonds is half that invested in stocks, how much is invested in each category?

 

 

 

 

 

 

 

 

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Question 2 :( 5 Points)

A sales clerk has a choice between two payment plans. Plane A pays $100 a week plus $8 a sale. Plan B pays $250 plus $3.5 a sale. How many sales per week must be made for plan A to yield the grater paycheck?

 

 

 

 

 

 

 

 

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Question 3 :( 10 Points)

a)     Find the equation of the line that passing through (3, -4) and parallel to

      the line.

 

 

 

 

 

 

b) The demand function for a manufacturer product is, where the price in dollars is, is the units are demanded per month. Find the number of units that maximizes the total revenue and determine this revenue.

 

 

 

 

Question 4 :( 10 Points)

A manufacturer of a certain product sells all that is produced. If the product is sold $16 per unit, fixed cost is $10,000 and variable cost $8 per unit. Then

            a) Determine the break-even point (6 Points)

 

 

 

 

 

           

           

           

b)     Find the profit(or loss)  when 1500, 1000 units are produced (4 Points)

 

 

 

 

 

 

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Question 5:(10 Points)

 Solve the following linear programming problem geometrically:

           Maximize:

           

                                                

 

 

 

 

 

 

 

 

 

 

 

 

Question 6:

Use simplex method to solve the following linear programming problem:

Maximize: