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#11546

inequalities

money

word problem

medium

90 sec

A farmer is planning to plant corn and soybeans. He has 500 acres available for planting. He wants to plant at least 100 acres of corn and at least 150 acres of soybeans. Planting corn costs $300 per acre, and planting soybeans costs $200 per acre. He has a budget of $120,000 for planting costs. If $c$ represents the number of acres of corn planted and $s$ represents the number of acres of soybeans planted, which system of inequalities represents the farmer's constraints?

A.

$c + s \leq 500$
$c \geq 100$
$s \geq 150$
$300 c + 200 s \leq 120, 000$

B.

$c + s \geq 500$
$c \leq 100$
$s \leq 150$
$300 c + 200 s \geq 120, 000$

C.

$c + s \leq 500$
$c \leq 100$
$s \leq 150$
$300 c + 200 s \leq 120, 000$

D.

$c + s \geq 500$
$c \geq 100$
$s \geq 150$
$300 c + 200 s \geq 120, 000$