The conclusion is that the total production has doubled. Productivity doubling is only a premise.
The total production is not a one factor -dependant. Choice A implies that if the total cultivated land increases when productivity doubles, then the total production should have more than doubled. However, it is remaining just double. Therefore, the overall productivity must have come down. This eventuality weakens the conclusion.
Let's consider this by a formula.
10 farmers * five fruits each = 50
10 farmers* 10 fruits each = 100
Now let's assume now there are 15 farmers .The 15 farmers *10 each = 150 fruits. However, this has not happened. The total production stands at the same 100. The real productivity therefore will be 100/15 = 6.6 fruits per head.
See, when the numerator remains the same and the denominator goes up over the previous one, then the final result will be a lessening of the effect.
On the contrary, look at B. The number of farmers for the food crops has come down due to diversion. Therefore, if the previous figure of production was doubled, then the fewer farmers must have produced more than double the previous productivity. This strengthens the conclusion that increase in productivity is responsible for doubling of the production.
This as far as I could see in this case.