Linear Inequalities

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Question : 19 of 54

Marks: +1, -0

A

B

are found in food

F_{1}

F_{2} .

F_{1}

contains 20 units of vitamin

A

and 30 units of vitamin B. One unit of food

F_{2}

, contains 60 units of

A

and 40 units of B. Costs per unit of

F

F_{2}

\text{Rs.}\;3

\text{Rs.}\;4

respectively. The minimum daily requirement of vitamin

A

B

is 80 and 100 units respectively. Problem is to determine the mixture of food

F_{1}

F_{2},

which meets the requirement at minimum cost by assuming that

x_{1}

F_{1}

X_{2}

F_{2}

are required to fulfill the need of vitamins. The constraints are

$20 x_{1}+60 x_{2} \geq 80$
$30 x_{1}+40 x_{2} \geq 100$
$x_{1} \geq 0 ; x_{2} \geq 0$
$20 x_{1}+60 x_{2} \leq 80$
$30 x_{1}+40 x_{2} \geq 100$
$x_{1} \geq 0 ; x_{2} \geq 0$
$20 x_{1}+60 x_{2} \geq 80$
$30 x_{1}+40 x_{2} \leq 100$
$x_{1} \geq 0 ; x_{2} \geq 0$
None of these.

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