Linear Inequalities

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Question : 12 of 54

Marks: +1, -0

A company produces two types of leather belts, say

A

B

A

is of superior quality and belt

B

is of lower quality. Each belt of type A requires twice as much time as required by a belt of type B. If all belts were of type

B

, the company could produce 1000 belts per day. But the supply of leather is sufficient only for 800 belts per day. Belt A requires fancy buckles and only 400 fancy buckles are available per day. For belt of type

B

only 700 buckles are available per day.

Constraints can be formulated by assuming that the company produce

x

A

y

units of belt B as :

$2x+y \leq 1000$
$x+y \geq 800$
$x \leq 400,\; y \leq 700$
$x \geq 0,\; y \geq 0$
$2x+y \leq 1000$
$x+y \leq 800$
$x \leq 400,\; y \leq 700$
$x \geq 0,\; y \geq 0$
$2x+y \geq 1000$
$x+y \leq 800$
$x \leq 400,\; y \leq 700$
$x \geq 0,\; y \geq 0$
None of the these

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