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Suppose that the first P300,000 income earned is not taxed at all, the next P500,000 earned is taxed at a rate of 20%, the next P1,500,000 is taxed at a rate of 30%, and any additional income is taxed at the rate of 40%. Let T(y) represent the income tax schedule. Find and graph the tax function T(y), defined on y > 0 b. Determine the points of non-differentiability for this function and explain why. Find and graph the marginal tax function on y > 0. a. С. d. Find and graph the average tax function T(y) on y 2 0.

Suppose that the first P300,000 income earned is not taxed at all, the next P500,000 earned is taxed at a rate of 20%, the next P1,500,000 is taxed at a rate of 30%, and any additional income is taxed at the rate of 40%. Let T(y) represent the income tax schedule. Find and graph the tax function T(y), defined on y > 0 b. Determine the points of non-differentiability for this function and explain why. Find and graph the marginal tax function on y > 0. a. С. d. Find and graph the average tax function T(y) on y 2 0.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that the first P300,000 income earned is not taxed at all, the next P500,000 earned is taxed at a rate of 20%, the next P1,500,000 is taxed at a rate of 30%, and any additional income is taxed at the rate of 40%. Let T(y) represent the income tax schedule. Find and graph the tax function T(y), defined on y 2 0 b. Determine the points of non-differentiability for this function and explain why. Find and graph the marginal tax function on y 2 0. а. С. T(y) d. Find and graph the average tax function on y 2 0. y
Transcribed Image Text:Suppose that the first P300,000 income earned is not taxed at all, the next P500,000 earned is taxed at a rate of 20%, the next P1,500,000 is taxed at a rate of 30%, and any additional income is taxed at the rate of 40%. Let T(y) represent the income tax schedule. Find and graph the tax function T(y), defined on y 2 0 b. Determine the points of non-differentiability for this function and explain why. Find and graph the marginal tax function on y 2 0. а. С. T(y) d. Find and graph the average tax function on y 2 0. y
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