Question

Electrocomp’s management realizes that it forgot to include two critical constraints (see Problem 7-14). In particular, management decides that there should be a minimum number of air conditioners produced in order to fulfill a contract. Also, due to an oversupply of fans in the preceding period, a limit should be placed on the total number of fans produced.

(a) If Electrocomp decides that at least 20 air conditioners should be produced but no more than 80 fans should be produced, what would be the optimal solution? How much slack is there for each of the four constraints?

(b) If Electrocomp decides that at least 30 air conditioners should be produced but no more than 50 fans should be produced, what would be the optimal solution? How much slack is there for each of the four constraints at the optimal solution?

7-22 Solve the following LP problem using the corner point graphical method. At the optimal solution, calculate the slack for each constraint:

7-26 The seasonal yield of olives in a Piraeus, Greece, vineyard is greatly

Answer 1

(a) The solution is:

	X1	X2		Used	Available
	3	2	<=	240	240
	2	1	<=	140	140
	1	0	>=	40	20
	0	1	<=	60	80
Obj. Fun.	40	60
Max.	25	15
Z	1900

The graph is:

	Slack
Constraint 1	0
Constraint 2	0
Constraint 3	20
Constraint 4	20

(b) The solution is:

	X1	X2		Used	Available
	3	2	<=	235	240
	2	1	<=	140	140
	1	0	>=	45	30
	0	1	<=	50	50
Obj. Fun.	45	50
Max.	25	15
Z	1875

The graph is:

	Slack
Constraint 1	5
Constraint 2	0
Constraint 3	15
Constraint 4	0