1a. Total income earned in Libra is $100 000 [= ($5000 + $10 000 + $15 000 + $30 000 + $40 000)]. The shares if income earned by the five households (ranked in reverse order) are 5% [= ($5000/$100 000) x 100%], 10% [= ($10 000/$100 000) x 100%], 15% [= ($15 000/$100 000) x 100%], 30% [= ($30 000/$100 000) x 100%], and 40% [= ($40 000/$100 000) x 100%].
b. The cumulative shares of income earned by each household (ranked in order) are 5%, 15% [= (5% + 10%)], 30% [= (5% + 10% + 15%)], 60% [= (5% + 10% + 15% + 30%)], 100% [= (5% + 10% + 15% + 30% + 40%)].
c.
2a. Statistics Canada defines LICO in reference to the average proportion of after-tax income that Canadians spend on food, clothing and shelter. LICO is the income level at which a household spends 20 percent more on these items than does the average Canadian.
b. LICO is a relative measure of poverty, because it is an income cut-off that varies with Canadian prosperity. As the average Canadian household becomes more prosperous and spends a lower proportion of income on food, clothing and shelter, LICO expands in value, so that households in a greater income range are classified as poor. An absolute measure of poverty would stay constant regardless of changes in the average income of Canadians.
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1a. The households incomes after transfer payments and taxes are (ranked in reverse order) $8750 [= ($5000 +$5000) ($5000 x .25)], $12 500 [= ($10 000 +$5000) ($10 000 x .25)], $16 250 [= ($15 000 +$5000) ($15 000 x .25)], $27 500 [= ($30 000 +$5000) ($30 000 x .25)], and $35 000 [= ($40 000 +$5000) ($40 000 x .25)].
b. Total income received after transfer payments and taxes is still $100 000 [= ($8750 + $12 500 + $16 250 + $27 500 + $35 000)]. The shares of income received by the households (ranked in order) are now 8.75% [= ($8750/$100 000) x 100%], 12.5% [= ($12 500/$100 000) x 100%], 16.25% [= ($16 250/$100 000) x 100%], 27.5% [= ($27 500/$100 000) x 100%], and 35% [= ($35 000/$100 000) x 100%].
c. The cumulative shares of income received by the households (ranked in order) are now 8.75%, 21.25% [= (8.75% + 12.5%)], 37.5% [= (8.75% + 12.5% + 16.25%)], 65% [= (8.75% + 12.5% + 16.25% + 27.5%)], and 100% [= (8.75% + 12.5% + 16.25% + 27.5% + 35%)].
d.
e. This distribution is more equal than it was before transfer payments and taxes, since the shares of income received by the poorest three households are higher (now 8.75%, 12.5% and 16.25%) than before (5%, 10%, and 15%), and the shares received by the richest two households (now 27.5% and 35% ) are lower than before (30% and 40%).