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q3. which of the following hypotheti- cal situations will definitely result in an increased per capita produc- tion of butter in netherlands? a. decrease in production of butter and decline in population. b. decrease in production of butter and an increase in population. c. increase in production of butter and decline in population. d. increase in production of butter and an increase in population. e. no change in production of butter and an increase in population. correct answer: c data interpretation the answer is found by straight numerical reasoning; we do not require any specific information from the table or the ques- tion. reasoning we must consider each option separately to ascertain the situation in which the per capita production of butter will definitely increase. calculation the per capita production of butter is cal- culated by dividing the production of butter by the total population. per capita production of butter (production of butter) (total population) option a: decrease in production of butter and decline in population. the numerator and denominator of our ratio are both decreasing. the resulting per capita production can decrease or increase depending upon the percentage decrease in production and population… only specific numbers can tell us what will actually happen. therefore, this
lion between 2013 and 2014, a percentage change of: ([16.83 - 16.78] / 16. 78) * 100% = 0.3% to offset a 0.3% increase in the denomina- tor (population), the numerator (produc- tion) should also have increased by the same percentage. therefore, the total pro- duction should have increased by 0.3% for the per capita combined production to remain constant from 2013 to 2014. per capita combined production in 2013 total production in 2013 * 100. 3% total population in 2014 potential shortcuts / pitfalls the major pitfall to this question is think- ing it is a lot more complicated than it is. because the question starts with the infor- mation that "the total production of butter and cheese in netherlands declined from 2013 to 2014" it is natural to assume that we should be doing a lot of calculations with butter and cheese, whereas this is not necessary. as we have seen, all we actu- ally needed was the population figures. a more obvious but far longer method involves calculating the per capita com- bined production of butter and cheese in 2013 and then using the population of 2014 to find the necessary level of com- bined production in 2014. the required percentage change in production from 2013 to 2014 would be found by subtract- ing the two values and calculating the percentage. as we have seen, a bit of smart numerical reasoning can save us a lot of unnecessary calculations. it is also important to realise that the 6 zeroes from production (1 000 tonnes) and population (millions) can be ignored to simplify calculations or you will make more work for yourself.