Subjects algebra

Avocado Export

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1. **Problem Statement:** We are given the export function of Avocados from Indonesia as $$E(P) = P - 10000$$ where $$P \geq 10000$$ and $$P$$ represents production in thousands. 2. **Understanding the function:** This is a linear function where the export $$E(P)$$ depends on production $$P$$. The function subtracts 10000 from production, meaning exports start from zero when production is 10000. 3. **Graphing the function:** The graph is a straight line with slope 1 and y-intercept at $$-10000$$. However, since $$P \geq 10000$$, the graph starts at point $$(10000, 0)$$. 4. **Scale for graph:** Each unit on the axes represents 1000 units of production or export. So, the point $$(10000, 0)$$ corresponds to $$(10, 0)$$ on the graph. 5. **Plotting points:** - At $$P=10000$$ (10 on graph), $$E=0$$ (0 on graph). - At $$P=11000$$ (11 on graph), $$E=1000$$ (1 on graph). - At $$P=12000$$ (12 on graph), $$E=2000$$ (2 on graph). 6. **Graph features:** The line passes through points $$(10,0)$$, $$(11,1)$$, $$(12,2)$$ and continues upward with slope 1. 7. **Interpretation:** For every increase of 1000 in production, exports increase by 1000. Final answer: The graph of $$E(P) = P - 10000$$ is a straight line starting at $$(10000,0)$$ with slope 1, plotted on a scale where 1 unit = 1000 units of production/export.