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from 2013 to 2014. what percentage increase in the total production in 2014 would have been required for the per capita production of butter and cheese to have been the same as in 2013? a. 0.3% b. 3.6% c. 3.7% d. 3.9% e. 5.5% correct answer: a data interpretation from the table and chart we need: the 2013 total population figure for netherlands the 2014 total population figure for netherlands reasoning w we must work out the percentage increase in the combined production of butter and cheese that would offset the increase in population from 2013 to 2014, such that the combined per capita production of butter and cheese remains constant. calculation there is a simple solution to this problem for which we need to understand how the per capita production is calculated. it is the ratio of the combined production of butter and cheese and the corresponding total population: per capita combined production in 2013 combined production in 2013 total population in 2013 we know that we want the per capita value for 2014 to be the same as in 2013. we also know that the population changed from 16.78 million to 16.83 mil-
calculation to calculate the 2016 per capita produc- tion of butter, we need to divide the total production of butter in 2016 by the popu- lation of the netherlands in 2016. the population figures are provided in millions (which has six zeroes), whereas the butter production is given in 1 000 tonnes. since 1 tonne = 1 000 kgs the pro- duction figure also has six zeroes when converted to kgs. therefore, to get the per capita production of butter in kgs we can simply divide the butter production figure by the population figure. 248 / 16.98 ~ 14.605 so, in 2016 netherlands produced 14.605 kgs of butter per capita (per person). to convert this into per capita turnover, we must multiply the per capita production by the average price: 14.605 * 3.25 ~ 47.47 therefore netherlands produced butter worth €47.47 per person in 2016. potential shortcuts / pitfalls it is easy to end up using the wrong year's production figure or the figure for cheese instead of butter. you need to be careful in this regard when working at speed. as indicated earlier, it isn't necessary to convert the production quantity of butter to kgs and the population from millions to units before calculation. the same order of magnitude (six zeroes) in each figure cancels out. you will waste precious time as well as risk making a mistake if you don't spot this. another typical mistake would be to consider the per capita production of butter in kilograms as the final answer. it is the per capita turnover and not the per capita production that is being asked for. q2. the total production of butter and cheese in netherlands declined