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HSA.CED.A.3 Tutor Intake — Constraints, Feasible Regions, and Viable Solutions

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Grade 9·8 problems·~12 min·Common Core Math - HS Algebra·standard·hsa-ced-a-3

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A feasible region is defined by this system:

$10x + 5y \geq 40$
$2x + 4y \leq 30$
$x \geq 0$
$y \geq 0$

Substitute $(5, 5)$ into the protein constraint $10x + 5y \geq 40$ .
What is the value of $10(5) + 5(5)$ ?