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Home » The time to fill the tank is the reciprocal: \( \frac125 = 2.4 \) hours. - High Altitude Science

The time to fill the tank is the reciprocal: \( \frac125 = 2.4 \) hours. - High Altitude Science

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A company produces two products, A and B. Product A sells for $50 and takes 2 hours to make. Product B sells for $80 and takes 3 hours to produce. If the company wants to maximize revenue and has 120 production hours available, how many of each product should they produce?

📌 Let \( x \) be the number of Product A and \( y \) be the number of Product B.

📌 The objective is to maximize revenue:

📌 R = 50x + 80y

📌 Subject to the time constraint:

📌 2x + 3y \leq 120

📌 and non-negativity:

📌 x \geq 0, \quad y \geq 0

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