Linear Inequalities

Question : 14 of 54

Marks: +1, -0

A firm makes two types of products : Type

A

and Type

B

. The profit on product

A

is ' 20 each and that on product

B

is ' 30 each. Both types are processed on three machines

M_{1}, M,

and

M_{3}

. The time required in hours by each product and total available in hours per week on each machine are as follows:

Machine	Product A	Product BB	Available Time
$\M_1$	3	3	36
$\M_2$	5	2	50
$\M_3$	2	6	60

The constraints can be formulated by taking

x_{1}=

number of units

A

and

x_{2}=

number of

B

$x_{1}+x_{2} ≤ 12$
$5 x_{1}+2 x_{2} ≥ 50$
$2 x_{1}+6 x_{2} ≥ 60$
$x_{1} ≥ 0 ; x_{2} ≥ 0$
$3 x_{1}+3 x_{2} ≥ 36$
$5 x_{1}+2 x_{2} ≤ 50$
$2 x_{1}+6 x_{2} ≥ 60$
$x_{1} ≥ 0 ; x_{2} ≥ 0$
$3 x_{1}+3 x_{2} ≤ 36$
$5 x_{1}+2 x_{2} ≤ 50$
$2 x_{1}+6 x_{2} ≤ 60$
$x_{1} ≥ 0 ; x_{2} ≥ 0$
None of these

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