Question

In which year is the quantity of PDS supply the minimum ?

• A. 2011
• B. 2012
• C. 2016
• D. 2015

Hint:

When comparing years with percentages, always calculate absolute values (production %) instead of just looking at percentages.

Answer 1

The Correct Option is A

Step 1: Formula for PDS supply PDS supply in a year = (Total production of that year) \(\times\) (PDS %). 

Step 2: Calculate totals from graph 2011: \( 300 + 250 + 150 + 200 = 900 \) thousand tonnes. 
2012: \( 350 + 150 + 50 + 250 = 800 \) thousand tonnes. 
2013: \( 300 + 400 + 200 + 100 = 1000 \) thousand tonnes. 
2014: \( 350 + 100 + 150 + 200 = 800 \) thousand tonnes. 
2015: \( 300 + 150 + 250 + 350 = 1050 \) thousand tonnes. 
2016: \( 400 + 300 + 350 + 250 = 1300 \) thousand tonnes. 

Step 3: Apply PDS % from table 2011: \( 900 \times 12\% = 108 \) (thousand tonnes). 
2012: \( 800 \times 18\% = 144 \). 
2013: \( 1000 \times 16\% = 160 \). 
2014: \( 800 \times 14\% = 112 \). 
2015: \( 1050 \times 20\% = 210 \). 
2016: \( 1300 \times 22\% = 286 \). 

Step 4: Find the minimum Minimum PDS supply = 108 (thousand tonnes) in 2011. \[ \boxed{2011} \]