Term 1 · Weeks 9–10 · Functions and Their Graphs

Standard problem

Standard

Producing one hectare of palay costs ₱62,000 and yields 4,000 kg. What farmgate price per kilogram lets the farmer break even?

Show step-by-step solution

Answer: 15.5 ₱

Break-even when revenue equals cost: $4{,}000p = 62{,}000$ .
$p = 62{,}000 \div 4{,}000 = 15.50$ pesos per kilogram.
Any price above ₱15.50 gives profit; the revenue function $R(p)=4000p$ is linear in price.

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