Felicien grows mirlitons (that's Cajun for Chayote squash) in his 100 by 100-foot garden. He then sells the crop at the local farmers' market. Two summers ago, he was able to produce and sell 1200 pounds of mirlitons. Last summer, he tried a new fertilizer. He harvested 1900 pounds. By how much has the productivity improved?

Productivity improved by 50%

Explanation:

Assuming he planted the same number of seeds (i.e to yield 1200 pounds)

Now, there should be 50% increase in yields

So, (100 + 50)% yield = 1900 pounds

150/100 yield = 1900 pounds

1.5  yield = 1900 pounds

Yield =  1900 pounds / 1.5

Yield = 1266.67 pounds

Thus the promise was well kept as 50% increase in 1200 pound will yield 1900 pounds and its obvious that he planted to yield more than 1200 pounds.

Or

Two summers ago = 1200 / 100 *100 = 0.12 / 1 = 0.12

Last summer = Output / Input = 1900 / 100 *100 = 0.19

Change = (0.19 -0.12) / 0.12 = 50%

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