For 2016/2017, the USDA projected the U.S. soybean yield to be 48.9 bushels per acre. If a bushel of soybeans weighs 60 lb. how does this compare to a European yield of 3.16 metric tons per hectare?

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NaronX566251 NaronX566251 · Answer 1 · 2022-10-30T04:43:21+01:00

In order to solve this problem, we need to convert some units of measure:

First, the mass units metric ton (ton) and pound (lb) relate as follows:

1 ton = 2204,62 lb

And the units of a surface acre (ac) and hectare (ha) relates as:

1 ha = 2,47105 ac

Then, for the U.S. soybean yield, we have:

[tex]\frac{48.9\cdot60lb}{ac}=\frac{2934lb}{ac}[/tex]

And, for the European yield, we have:

[tex]\frac{3.16ton}{ha}[/tex]

Using the conversion of units, we can rewrite this as:

[tex]\frac{3.16\cdot2204.62lb}{2.47105ac}\cong\frac{2819.287lb}{ac}[/tex]

Now we have the same units for both yields, we can compare them. To do so, let's divide the U.S. yield by the European one:

[tex]\frac{\frac{2934lb}{ac}}{\frac{2819.287lb}{ac}}[/tex]