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A person's annual labor supply, measured in hours worked per year, is given by 400 where is the after-tax wage rate. Assume that the before-tax

A person's annual labor supply, measured in hours worked per year, is given by 400 where is the after-tax wage rate. Assume that the before-tax wage rate is fixed at $36 (i.e., that before-tax wages do not change in response to income taxes and that labor supply bears the entirety of both statutory and economic burden). a. [2 points] Write a formula for person's annual income tax payment as a function of the tax rate, , where can range from 0 to 1 (i.e., from 0% to 100%). It may help to break this into steps: i. Write a formula for the after-tax wage rate as a function of the tax rate. Reminder: the before-tax wage rate is $36 per hour. ii. Now that you have a formula for the after-tax wage rate, write a formula for the person's annual labor supply as a function of the tax rate (i.e., plug your formula for the after-tax wage rate in for in the labor supply equation given at the beginning of the problem). iii. Now that you have a formula for the person's annual labor supply, write a formula for the person's annual income (i.e., the product of labor supply and

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