Linear Inequalities

Question : 18 of 54

Marks: +1, -0

A small manufacturing firm produces two types of gadgets

{A}

and

{B}

. which are first processed in the foundary, and then sent to another machine for finishing. The number of man-hours of labour required in each shop for the production of each unit of

{A}

and

{B},

and the number of man-hours for the firm available per week are as follows :

	Foundary	Machines - Shop
Gadget A	10	5
Gadget B	6	4
Firms capacity per Week in man hours	1000	600

Let the firm manufacture x units of A and y units of B. The constraints are:

$10 x+6 y ≤ 1000$
$5 x+4 y ≤ 600$
$x ≥ 0 ; y ≥ 0$
$10 x+6 y ≤ 1000$
$5 x+4 y ≥ 600$
$x ≥ 0 ; ≥ 0$
$10 x+6 y ≥ 1000$
$5 x+4 y<600$
$x ≥ 0 ; y ≥ 0$
None of these

Validate

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