Q1) Shop has 4 machinists to be assigned to 4 machines. Hourly cost of having each machine operated by each machinist is as follows:
|
Machine
|
Machinist
|
A
|
B
|
C
|
D
|
1
|
$10
|
$2
|
$8
|
$6
|
2
|
9
|
5
|
11
|
9
|
3
|
12
|
7
|
14
|
14
|
4
|
3
|
1
|
4
|
2
|
i) Create a linear programming model for this problem.
ii) Find out optimal assignment and calculate total minimum cost.
Q2) 3 members of club will be chosen to serve as officers. First person selected will be president, second person will be vice-president and third will be secretary/treasurer. How many methods can these officers be chosen if there are 30 club members?
i) 4060
ii) 27000
iii) 52360
iv) 24,360
v) 90