In 1921, a classic set of experiments with chemical fertilizers was performed at the Rothampsted Experimental Station, an agricultural research institute in Hertfordshire, England. Researchers applied different amounts of a particular fertilizer to ten apparently identical plots of land. The results for one test, using identical seed grain, are listed in the following table. Create a graph with the fertilizer dose on the horizontal axis and output on the vertical axis. (With no fertilizer, output = 100.) Compute the average and marginal product of fertilizer, and identify the (approximate) points of diminishing average and marginal productivity.

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Plot Fertilizer Dose Output Index 15 30 60 75 90 105 120 135 150 104.2 110.4 118.0 125.3 130.2 131.4 131.9 132.3 132.5 132.8 7 10