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: