Question

In which year is the quantity of export the maximum ?

• A. 2011
• B. 2012
• C. 2013
• D. 2014

Hint:

Multiply total production by given percentage to find absolute export values.

Answer 1

The Correct Option is A

Step 1: Export = (Total production) x (Export %) 

2011: \( 900 \times 40\% = 360 \). 
2012: \( 800 \times 20\% = 160 \). 
2013: \( 1000 \times 25\% = 250 \). 
2014: \( 800 \times 30\% = 240 \). 
2015: \( 1050 \times 15\% = 157.5 \). 
2016: \( 1300 \times 20\% = 260 \). 

Step 2: Maximum value Maximum export = 360 (in 2011). \[ \boxed{2011} \]

Answer 2

Instead of computing the export quantity for all six years upfront, the year with the highest export can be narrowed down by first estimating which year combines a large production base with a high export percentage.

Estimating the likely candidate. 2011 has both a substantial total production (900 thousand tonnes) and by far the highest export percentage (40%) of any year on the chart — an early sign it is likely to give the largest export figure.

Verifying with exact computation. \[ 2011:\ 900\times40\%=360,\qquad 2012:\ 800\times20\%=160,\qquad 2013:\ 1000\times25\%=250, \] \[ 2014:\ 800\times30\%=240,\qquad 2015:\ 1050\times15\%=157.5,\qquad 2016:\ 1300\times20\%=260. \] Even the next-highest value (2016's 260) falls well short of 2011's 360.

1. Option 2011: Matches — gives the maximum export of \(360\) thousand tonnes.
2. Option 2012: Its export of \(160\) is far below the maximum; ruled out.
3. Option 2013: Its export of \(250\) is also below 2011's figure; ruled out.
4. Option 2014: Its export of \(240\) doesn't come close to 2011's \(360\); ruled out.

Spotting 2011's combination of high production and the steepest export percentage upfront correctly predicts it as the maximum before even finishing the full calculation.

So the correct answer is 2011.