Test Index

Linear Inequalities

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Question : 28 of 54

Marks: +1, -0

Mr. A plans to invest upto

\text{Rs} .30,000

X

Y

X(x)

is priced at Rs. 175 and Stock

Y(y)

at Rs. 95 per share. This can be shown by

$175 x + 95 y \leq 30{,}000$
$175 x + 95 y \geq 30{,}000$
$175 x + 95 y = 30{,}000$
None

Solution:

Concept:

The total investment cannot exceed the maximum amount.

Explanation:

Cost of

x

shares of stock

X

is

175x

and

y

shares of stock

Y

is

95y

.

Total investment is

175x + 95y

.

Since the investment is "up to" Rs. 30,000, it must be less than or equal to 30,000.

Thus,

175x + 95y \leq 30{,}000

.

Answer:

Option A is correct.

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