Linear Inequalities

Question : 12 of 54

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A company produces two types of leather belts, say

{A}

and

{B}

. Belt

{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

units of belt

A

and

y

units of belt B as :

$2 x+y ≤ 1000$
$x+y ≥ 800$
$x ≤ 400 ; y ≤ 700$
$x ≥ 0, y ≥ 0$
$2 x+y ≤ 1000$
$x+y ≤ 800$
$x ≤ 400 ; y ≤ 700$
$x ≥ 0, y ≥ 0$
$2 x+y ≥ 1000$
$x+y ≤ 800$
$x ≤ 400 ; y ≤ 700$
$x ≥ 0, y ≥ 0$
None of the these

Validate

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