The current population of Tanzania is 49.3 million with apopulation growth rate of 2.53% per year. The average annualagricultural yield in Tanzania is 8950 kg/ha (where "ha" meanshectare, which you can think of as a metric acre), a yield that iscomprised of both grains (e.g. maize/corn) and tubers (e.g. cassavaroot) in a 1:1 ratio. The total amount of cropland farmed inTanzania is 4,500,000 ha. The average agricultural output hasincreased at a linear rate of about 1.3% per year for the last fiveyears or so. Ideally, one person should have a caloric intake of atleast 2000 kcal per day in order to maintain their life. 1 kg grainsupplies 3000 kcal; 1 kg tubers supplies 1000 kcal. Use theequations from our mini-lecture and the linear growth equation fromthe last module's quantitative assignment, to answer the followingquestions. You will also have to do some conversions for which youwon't find specific equations. If Tanzania can currently feed 110Million people, in what year will they cease to be self-sufficientin food? In other words, when will they need to begin importingfood?

Hint: Plot both (i) population growth and (ii) food growthon the same set of axes for a span of 100 years or so (a pointevery 10 years should be enough for you to make a determination).The point where the two lines cross is the point after which theywould need to start importing food. A spreadsheet program such asExcel may help though you could simply plot them on paper.Alternatively, you could use your scientific graphing calculator(if you have one) to determine the answer. The current year is2,018.