kindly solve this

Question

You know you have an income, but are you meeting expenses? You earn 20 dollars per hour working a variable number of hours each month, and you typically receive a 1200 dollar IRS refund each year. You pay 20 percent of your gross hourly income towards taxes: federal, state, local. Rent, utilities, groceries and other fixed costs come out to 1500 dollars per month. But, working costs money, too, and you calculate that each hour of work costs 1 dollar in commuting costs and buying meals while at work.

(a) Build a system of equations describing your household monthly costs and your household monthly income. Use number of hours worked x as the input variable for both the cost equation and the revenue equation.

(b) Calculate how many hours you need to work each month to meet your monthly expenses

Answer 1

a) Revenue, R(x) = 20x+1200

Cost, C(x) = x + .2x + 1500

b) To just meet your monthly expenses, R(x) = C(x)

20x+1200 = 1.2x +1500 --> x= 300/(20-1.2) = 15.96 hours

Note: That means = have 4.04 hours a month more to work or about $80 to the good.