Linear Inequalities

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Question : 11 of 54

Marks: +1, -0

A scooter company manufactures scooters of two models

A

and B. Model A requires 15 man-hours for assembly, 5 man-hours for painting and finishing and 1 man-hour for checking and testing. Model B requires 6 man-hours for assembly, 4 man-hours for painting and finishing and 2 man-hours for checking and testing. There are 300 man-hours available in the assembly shop, 120 man-hours in painting and finishing shop and 50 man hours are available in checking and testing division.

The constraints can be formulated by taking

x=

number of scooters of model A; and

y=

number of scooters of model

B

$15 x+6 y \le 300$
$x+2 y \le 50$
$5 x+4 y \le 120$
$x \ge 0, y \ge 0$
$15 x+6 y \ge 300$
$x+2 y \le 50$
$5 x+4 y \le 120$
$x \ge 0, y \ge 0$
$15 x+16 y \le 300$
$x+2 y \le 50$
$5 x+4 y \ge 120$
$x \ge 0, y \ge 0$
None of the these.

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