Paycheck Your homework is to write the getAmount method of the Paycheck class. This method should return the amount of money for a paycheck. If you’ve ever had a job and looked closely at a paycheck, you’ll realize that computing the amount of a paycheck is actually somewhat complicated. • Your “base pay” is the number of hours you’ve worked multiplied by your hourly rate. • If you have worked more than forty hours in a week, you earn “over time pay”. For each hour you work beyond forty hours, you earn another 50% of your hourly rate. (That is, you earn 1.5 times your hourly wage for each hour after forty hours.) • Taxes are then deducted from your paycheck, according to the table below. Total base pay, including overtime Percent deducted from paycheck pay < 200 11% 200 ≤ pay < 400 15% 400 ≤ pay < 600 18% 600 ≤ pay 24% • In addition, $14 is deducted from your paycheck for “union dues.” (You cannot have a negative paycheck, so if your paycheck before deducting union dues was less than $14, your total paycheck will be $0.)

Here’s a solution for the `getAmount` method of the `Paycheck` class in Java. This function calculates the paycheck amount by accounting for base pay, overtime, tax deductions, and union dues.

```java
public class Paycheck {
    private double hoursWorked;
    private double hourlyRate;

    // Constructor
    public Paycheck(double hoursWorked, double hourlyRate) {
        this.hoursWorked = hoursWorked;
        this.hourlyRate = hourlyRate;
    }

    public double getAmount() {
        // Calculate base pay and overtime pay
        double basePay;
        double overtimePay = 0;

        if (hoursWorked > 40) {
            basePay = 40 * hourlyRate;
            overtimePay = (hoursWorked - 40) * hourlyRate * 1.5;
        } else {
            basePay = hoursWorked * hourlyRate;
        }

        // Total gross pay before deductions
        double totalPay = basePay + overtimePay;

        // Determine tax rate based on totalPay
        double taxRate;
        if (totalPay < 200) {
            taxRate = 0.11;
        } else if (totalPay < 400) {
            taxRate = 0.15;
        } else if (totalPay < 600) {
            taxRate = 0.18;
        } else {
            taxRate = 0.24;
        }

        // Calculate the amount after taxes
        double taxedPay = totalPay * (1 - taxRate);

        // Deduct union dues
        double finalPay = taxedPay - 14;

        // Ensure final pay is not negative
        if (finalPay < 0) {
            finalPay = 0;
        }

        return finalPay;
    }
}
```

### Explanation
1. **Base and Overtime Pay Calculation**: 
   - The code first checks if the `hoursWorked` exceeds 40 hours.
   - If so, it calculates `basePay` for the first 40 hours and `overtimePay` for the additional hours at 1.5 times the hourly rate.
   - Otherwise, it calculates `basePay` by multiplying `hoursWorked` by `hourlyRate`.

2. **Tax Deduction**:
   - Based on `totalPay`, the code selects a tax rate from the provided ranges, then applies it to calculate the `taxedPay`.

3. **Union Dues Deduction**:
   - A fixed deduction of $14 for union dues is subtracted from `taxedPay`.
   - The final pay is capped at a minimum of $0 to avoid a negative paycheck.

Would you like more details on any step, or have questions?

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### Related Questions
1. How would the calculation change if union dues were a percentage rather than a fixed amount?
2. What would happen if the tax rates were progressive instead of segmented?
3. How can the `getAmount` method handle cases where overtime is double pay instead of 1.5x pay?
4. What changes would be necessary if hours worked could exceed 60 hours?
5. How could the method be adapted for salaried employees with fixed weekly pay?

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### Tip
Make sure to test `getAmount` with edge cases, like exactly 40 hours, less than 40, just over 40, and tax boundary values.

Learn how to calculate the amount of a paycheck, including base pay, overtime, tax deductions, and union dues. This problem covers algebraic concepts like conditional logic and percentages, suitable for students in Grades 10-12.

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