Question

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Answer 1

Answer:

A ans 600 kg

b 40 kg

Step-by-step explanation:

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Answer 2

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(i)

• Suppose the company uses X kg. of A and ykg. of B to prepare the mixture.

• so,the cost of the preparation of mixture is 3x+5y which is to be minimized.

• Hence, the objective function is Z=3x+5y

(ii)

• since quantity of mixture must be 200 kg one condition is $\bold{x+y\geqslant 200}$ 

Again,

The constrain of the amount of ingredients to be used requires the following conditions to be satisfied.

• $\sf{\green{ x \leqslant 80~and ~y \geqslant 60 }}$ 

(iii)

• Then the non negativity conditions are $\tt{ x \geqslant 0}$ and   $\tt{y \geqslant 0 }$ 

• Hence, The LPP is given by,minimize Z=3x+5y

Subject to,

• $\sf{x+y  \geqslant 200}$ 

• $\sf{x \leqslant  80 }$ 

• $\sf{y  \geqslant 60}$ 

• $\sf{x,y  \geqslant 0}$ 

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