1. Federal Income Tax Refer to the revised 2003 tax rate schedules. If x equals the taxable income and y equals the tax due, construct a function y = f(x) for Schedule Y-1.

(a) What is the tax due for taxable income $60,000?

(b) Assume that x equals taxable income and y equals the tax due. Construct a function y=f(x). You need to find a piecewise function. Clearly indicate the condition on x for the corresponding equation.

2. Enclosing the Most Area with a Fence A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed?

(a) Express the area A of the rectangle as a function of x, where x is the length of the side vertical to the highway.

(b) What is the largest area that can be enclosed?

Please, Thank You

Is Over Over Amount This % Over SCHEDULE Y-1- Married $0 $14,000 $0.00 10% $0.00 Filing $14,000 $56,800 $1,400.00 15% $14,000 Jointly or $56,800 $114,650 $7,820.00 25% $56,800 Qualifying $114,650 $174,700 $22,282.50 28% $114,650 Widow(er) $17,700 $311,950 $39,096.50 33% $174,700 $311,950 $84,389.00 35% $311,950 Is Over Over Amount This % Over SCHEDULE Y-1- Married $0 $14,000 $0.00 10% $0.00 Filing $14,000 $56,800 $1,400.00 15% $14,000 Jointly or $56,800 $114,650 $7,820.00 25% $56,800 Qualifying $114,650 $174,700 $22,282.50 28% $114,650 Widow(er) $17,700 $311,950 $39,096.50 33% $174,700 $311,950 $84,389.00 35% $311,950