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 breakeven 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:
_{}