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Home » This is a quadratic in $ l $, opening downward, so maximum occurs at the vertex: - Get link 4share

This is a quadratic in $ l $, opening downward, so maximum occurs at the vertex: - Get link 4share

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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At \( (0, 40) \): \( R = 50(0) + 80(40) = 3200 \)
At \( (60, 0) \): \( R = 50(60) + 80(0) = 3000 \)
Also, check the point where the line intersects the axes maximally:
Solve \( 2x + 3y = 120 \) for \( x = 30, y = 20 \): \( R = 50(30) + 80...
Maximum revenue is at \( (0, 40) \).
#### Produce 0 of A and 40 of B for maximum revenue of $3200
The quadratic equation is \( 3x^2 - 12x + 9 = 0 \).
Divide the entire equation by 3:
Setting each factor to zero gives:
x - 1 = 0 \quad \text{or} \quad x - 3 = 0

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