Question 3.

(a) A project management consultant estimated that if a particular project was

completed, years after completion, thousand persons would benefit directly from

the project, where

() =

3

4.5 + 16, 0 10

For what value of , will the largest number of people receive direct benefits?

(b) A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires

20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging

time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and

12 minutes of packaging time. Each blouse requires 10 minutes of cutting time,

24 minutes of sewing time and 6 minutes of packaging time.

The amount of time available for cutting, sewing and packaging is 115 hours,

280 hours and 65 hours respectively. Using either the

, determine how many of each type of clothing should be made

to use all available labour hours?