Discussion
Following bar chart presents supply as a percentage of demand of a product and demand as a percentage of capacity of the industry to produce the same product. All the values are multiples of 5.
| Year | Supply of demand | Demand of capacity |
|---|---|---|
| 2003 | 65 | 80 |
| 2004 | 70 | 90 |
| 2005 | 60 | 80 |
| 2006 | 90 | 65 |
If capacity of the industry to produce the product remains constant at 10000 kg. then the approximate average supply (in kg) for the given period is:
Answer: B
The approximate average supply in the key is 5375 kg.
With capacity fixed at 10000 kg, each year's supply is capacity times the demand share times the supply share.
\[ \begin{aligned} 2003 &: 10000 \times 0.80 \times 0.65 = 5200 \\ 2004 &: 10000 \times 0.90 \times 0.70 = 6300 \\ 2005 &: 10000 \times 0.80 \times 0.60 = 4800 \\ 2006 &: 10000 \times 0.65 \times 0.90 = 5850 \end{aligned} \]
\[ \text{average} = \frac{22150}{4} = 5537.5 \]
The exact average, 5537.5 kg, is not among the options. The question asks for an approximate value, and 5375 is the closest option to it (about 160 kg away), so the key takes 5375. 6200 is more than 650 kg away, and 5100 and 4400 are further still.
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