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2. Suppose that tax paid by a certain person per year is denoted T, and is calculated using the following relationship to that persons gross income (Gi): T, 0.25(G - 10000) (i.e, only people who have an income over $10,000 per year are taxed, and only the income beyond $10,000). You are told that the total gross income for an area with 200 people is $6,000,000. Assume that all the people measured make over $10,000 a year. (a) Find the total taxes collected for the 200 people. (b) Find Σ TOOT, for the 200 people. (c) Find Σ(2G-40) for the 200 people.

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(a) The total tax collected for 200 people is

  Ti-> 0.25(Gi-10000) 0.25Σ G-Σ 100000) 25Gi-2 10000) 0.25(6000000-200 * 10000) 1000000

100000 10000 (b) li 100 100

(c) 〉 (2G-10)-2 * 〉 (c) (2G- 40-22G Gi-〉 40 = 2 * 6000000-200 * 40-11992000 - Σ40 ) : 2*6000000-200 *

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