Finding optimal assignment and total minimum cost

Reference no: EM1321759

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

Reference no: EM1321759

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