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PSAT/NMSQT
PSAT Math Test - Calculator Section

Cost Analysis of Products A and B

Very Hard Heart Of Algebra Linear Equations And Inequalities

Jordan is analyzing the costs of producing two different products, A and B. The cost to produce $x$ units of product A can be modeled by the equation:

$$ C_A = 5x + 150 $$

and the cost to produce $y$ units of product B can be modeled by the equation:

$$ C_B = 7y + 100 $$

On a particular day, Jordan wants the total cost of producing products A and B not to exceed $1000.
If Jordan decides to produce 120 units of product A, how many units of product B can he produce without exceeding the total cost limit?

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