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Question 18N.3.HL.TZ0.b.iv

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Date November 2018 Marks available [Maximum mark: 2] Reference code 18N.3.HL.TZ0.b.iv
Level HL Paper 3 Time zone TZ0
Command term Calculate Question number b.iv Adapted from N/A
b.iv.
[Maximum mark: 2]
18N.3.HL.TZ0.b.iv

Figure 3 illustrates the market for cotton in the country of San Marcus, a small closed economy. Cotton is used as an input in the San Marcus textile industry. Quantity is in thousands of kilograms (kg).

The Government of San Marcus decides to provide a subsidy equal to $8 per kilogram to its producers of cotton.

Calculate the change in the consumer surplus resulting from the subsidy.

[2]

Markscheme

( 50 + 75 ) 2 × ( 10 5 ) + 1000

OR

(0.5 × 75 × 15) − (0.5 × 50 × 10) = 562.5 − 250

Any valid working is sufficient for [1].

Valid working may be:

  • correct workings for initial CS (0.5 × 50 × 10)
  • correct workings for final CS (0.5 × 75 × 15)
  • correct workings for the trapezium ( 50 + 75 ) 2 × ( 10 5 ) + 1000

= $312 500

An answer of 312 500 or $312 500 (without working) is sufficient for [1].

OFR may apply.