Answer :
The value index for grains produced in 2018 is 1.101
the year-end price and production of grains for 2015 and 2018 are listed
Grain price(2015) production(2015) price(2018) production (2018)
Oats 2.4878 1298 2.5712 814
Wheat 5.0936 26117 4.9757 51287
Corn 3.7829 345506 3.7043 366287
Barley 5.0836 4750 4.9757 3333
The value index can be calculated by using the formula
V = ∑P₁Q₁/P₀Q₀
V = ((2.5712 x 815) + (4.9757 x 51287) + (3.7043 x 366287) + (4.9757 x 3333))/ ((2.4878 x 1298) + (5.0936 x 26117) + (3.7829 x 345506) + (5.0836 x 4750))
V = (2095.5 + 255188.72 + 1356836.93 + 16584)/(16584 + 133029 + 1307014 + 24147.1)
V = 1630704.22/1480774.01
V = 1.101
Therefore, using 2015 as the base period, the value index for grains produced in 2018 is 1.101
To learn more about value index referhere
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