Linear Inequalities

Question : 13 of 54

Marks: +1, -0

A man makes two types of furniture : chairs and tables. Profits are ' 20 per chair and ' 30 per table. Both the products are processed on two machines

{M}_{1}

and

{M}_{2}

. The time required for each product in hours and total time available in hours for each machine are as follows :

Machine	Chair	Table	Available Time
$\M_1$	3	3	36
$\M_2$	5	2	50

Constraints can be formulated by taking

{x}=

the number of chairs and

{y}=

the number of tables produced as :

$x+y ≤ 12$
$5 x+2 y ≥ 50$
$x ≥ 0 ; y ≥ 0$
$x+y ≤ 12$
$5 x+2 y ≤ 50$
$x ≥ 0 ; y ≥ 0$
$x+y ≥ 12$
$5 x+2 y ≤ 50$
$x ≥ 0 ; y ≥ 0$
None of these.

Validate

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