For the linear program:Min 7A+6Bs.t. 5A+4B≥25 3A+2B≥15 4B≤10 A, B≥0Write the problem in standard form.Max or Min___A+___B+__S1+___S2+____S3 St ___A+___B-___S1 >=, <=, =_____________ ___A+___B -___S2 >=, <=, =_____________ ___B +_____S3>=, <=, =_____________ >=, <=, =_____________ What is the optimal solution?The optimal solution is A=____________ , B = ____________-What are the values of the slack and surplus variables?S1= ____________S2 = ______________S3 = _____________

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Answered: For the linear program: Min 7A +…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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For the linear program:

Min	7A	+	6B
s.t.
	5A	+	4B	≥	25
	3A	+	2B	≥	15
			4B	≤	10
			A, B	≥	0

Write the problem in standard form.

Max or Min	___A	+	___B	+	__S1	+	___S2	+	____S3
St
	___A	+	___B	-	___S1					>=, <=, =	_____________
	___A	+	___B			-	___S2			>=, <=, =	_____________
			___B					+	_____S3	>=, <=, =	_____________
										>=, <=, =	_____________

What is the optimal solution?

The optimal solution is A=____________ , B = ____________-
What are the values of the slack and surplus variables?

S₁= ____________

S₂ = ______________

S₃ = _____________

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