This document contains details of a final exam for a quantitative techniques course, including 10 questions in Section A and 5 multi-part questions in Section B. Section A questions cover topics like graphing functions, using percentages to calculate increases, and probabilities. Section B questions address concepts like economies of scale, break-even point analysis, quality management, mutually exclusive and independent events, and linear programming. Students are instructed to answer all Section A questions and select 4 from Section B.

1. INSTITUTE OF PROCUREMENT AND SUPPLY
QUANTITATIVE TECHNIQUES
FINAL EXAMINATION
BDPS YR II
CODE: PSU 07417
TIME ALLOWED: 3HOURS

2. Answer all questions from Section A and four Questions from Section B
SECTION A (4 units @)
1. Draw the graph of y = x
2. Why managers use numbers?
3. Mr. Shein harvested 30 tones of maize last year, this year he has harvested 50 tones, what
is the percentage increase?
4. The probability of having a male student in a class is o.4, what is the probability of
having a female student?
5. Why is it important to use both qualitative and quantitative analysis?
6. The distance between Dsm and Morogoro is 300Km, if you leave Dsm at 12:00noon with
a car travelling at 60Km/h, when are going to arrive to Morogoro?
7. Evaluate 5! x 4!
8. What are the four limitations of quantitative techniques?
9. What is the role of quantitative techniques in business and industry?
10. Why do you think is important for you to study this course (QT)? 3 reasons
SECTION B
QUESTION ONE
a. What is Economies of scale? (3units)
b. What is Break Even Point? (3units)
c. Nuru’s seafood Diner serves 200 meals a day at an average price of 20$. The variable
cost of each meal is 10$, and the fixed cost of running the restaurant are 1,750$ a day.
i. What profit does the restaurant make? (3units)
ii. What is the average cost of a meal? (3units)
iii. By how much would the average cost of a meal fall if the number of meals served
rose to 250 a day? (3units)
QUESTION TWO
a. What are the basic decisions that a manager with stock-control responsibility faces and
what are the likely objectives of such a manager in this context? (9units)
b. Determine the total order costs if the manager decides:
i. To place orders for 10 units at a time (3units)
ii. To place orders for 250 units at a time (3units)

3. Given D = the annual demand for the item, 250
C0 = the cost of placing each order, $ 50
Ch = the cost of holding an item for one year, $15
Q = the size of the order to be placed (currently unknown)
QUESTION THREE
a. What is the importance of quality management for all business organizations (explain
five points) (9units)
b. Describe four causes of faults in production activities (6units)
QUESTION FOUR
a. What are mutually exclusive events? (3units)
b. What are independent events (3units)
c. Mohd mail-order combines two parts-product and invoices into a box for delivery. An
average of 3% of products is defective and an average of 5% of invoices is faulty. What
is the probability that a delivery has faults in both the product and the invoice? (9units)
QUESTION FIVE
Maximize the following pairs of inequalities
X + 3y < 15
2x + y < 10
X, y >=0
With respect to 4y + x (15units)