To answer your questions, let's break them down step by step.
Step 1: Total Realized Income, Fixed Expenses, and Discretionary Expenses
1. Calculate monthly income:
- Hourly wage: $11.75
- Hours worked per week (regular): 40 hours
- Weeks per month (budgeting): 4 weeks
Monthly income (before deductions): \[ \text{Monthly Income} = \text{Hourly Wage} \times \text{Hours Worked/Week} \times \text{Weeks/Month} \ = 11.75 \times 40 \times 4 = 1,880 \]
2. Calculate total deductions:
Total deduction rate = FICA (7.65%) + Federal tax (10.75%) + State tax (7.5%) \[ \text{Total Deduction Rate} = 0.0765 + 0.1075 + 0.075 = 0.259 \]
Total deductions: \[ \text{Total Deductions} = \text{Monthly Income} \times \text{Total Deduction Rate} \ = 1,880 \times 0.259 = 487.32 \]
Monthly income (after deductions): \[ \text{Total Realized Income} = \text{Monthly Income} - \text{Total Deductions} \ = 1,880 - 487.32 = 1,392.68 \]
3. Fixed and Discretionary Expenses:
- Fixed Expenses: (Let's assume you provide this or set a placeholder, e.g. $800)
- Discretionary Expenses: (Let's assume you provide this or set a placeholder, e.g. $300)
Summary of Step 1:
- Total Realized Income: $1,392.68
- Fixed Expenses: $800 (assumed)
- Discretionary Expenses: $300 (assumed)
Step 2: Calculate Budget with Overtime
1. Calculate overtime pay:
- Regular Hourly Wage: $11.75
- Overtime Pay Rate: \(11.75 \times 1.5 = 17.625\)
- Overtime hours: 20 hours
Total overtime earnings: \[ \text{Total Overtime Pay} = \text{Overtime Hourly Rate} \times \text{Overtime Hours} \ = 17.625 \times 20 = 352.50 \]
2. Calculate new monthly income (before deductions):
\[ \text{New Monthly Income} = \text{Monthly Income} + \text{Total Overtime Pay} \ = 1,880 + 352.50 = 2,232.50 \]
Calculate new total deductions: \[ \text{Total New Deductions} = \text{New Monthly Income} \times \text{Total Deduction Rate} \ = 2,232.50 \times 0.259 = 578.88 \]
New monthly income (after deductions): \[ \text{New Total Realized Income} = \text{New Monthly Income} - \text{Total New Deductions} \ = 2,232.50 - 578.88 = 1,653.62 \]
Summary of Step 2:
- New Total Realized Income: $1,653.62
Step 3: Savings with No Discretionary Expenses
To find out how much can be saved by eliminating discretionary expenses:
Savings without Discretionary Expenses: \[ \text{Savings} = \text{Total Realized Income} - \text{Fixed Expenses} \]
Using the new total realized income from Step 2: \[ \text{Savings} = 1,653.62 - 800 = 853.62 \]
Final Summary:
- Total Realized Income: $1,392.68
- Fixed Expenses: $800 (assumed)
- Discretionary Expenses: $300 (assumed)
- New Total Realized Income (with overtime): $1,653.62
- Savings if discretionary expenses are eliminated: $853.62
Please provide your actual fixed and discretionary expenses if you need more precise values.