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ACT
ACT Math Section

Maximizing Widget Production Within Constraints

Very Hard Preparing For Higher Math Number And Quantity

A company produces two types of widgets, A and B. Widget A costs $3 per unit to produce, while widget B costs $5 per unit to produce. The company has a budget of $600 for production. If the company wants to produce at least twice as many units of widget A as it does of widget B, how many units of each type of widget can the company produce maximally given these constraints?

Let $x$ represent the number of units of widget A and $y$ represent the number of units of widget B produced. The conditions can be expressed as:

1. Cost constraint: $3x + 5y \leq 600$

2. Production constraint: $x \geq 2y$

Which of the following options represents the maximum number of units of widget A ($x$) that can be produced while fulfilling these constraints?

Hint

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