Question

transform the following into the form where all the constraints of equality type maximize z=2x1+x2-6x3-4x4 subject to constraints 3x1+x4<25, x1+x2+x3+x4=20, 4x1+5x2>5, 2<x1+3x3+2x4<30​

Answer 1

Answer:

refer to attached

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let A = the cost of the sandwich

Let B = the cost of the cup of tea

Let C = the cost of the samosa

From the question, we know that (I have ignored the currency to save typing):

A+B+C = 28.50

A = B+11.50 ⇒⇒ B = A-11.50

A = C+8 ⇒⇒ C = A-8

Using 2. & 3., we can substitute for B & C, we can rewrite 1. as:

A+(A-11.50)+((A-8) = 28.50

In other words, 3A-19.50 = 28.50 ⇒⇒ 3A = 48.00 ⇒⇒ A = 16

Answer: The sandwich costs 16 Rs.