Consider the following mixed-integer linear program:

Max	3x1 + 4x2
s.t.
	5x1 + 9x2 45
	7x1 + 5x2 35
	x1, x2 0 and x1 integer

Choose the correct graph which shows the constraints for this problem and uses boldface vertical lines to indicate all feasible mixed-integer solutions.

Find the optimal solution to the LP relaxation. If required, round your answers to two decimal places. The optimal solution is given by x₁ = _____, x₂ = _____. Its value is _____. Round the value of x₁ down to find a feasible mixed-integer solution. If required, round your answers to two decimal places. Rounding the value of x₁ down to find a feasible mixed integer solution yields x₁ = _____, x₂ = _____ with a value of _____. Is this solution optimal?

Why or why not? The input in the box below will not be graded but may be reviewed and considered by your instructor.

Find the optimal solution for the mixed-integer linear program. If required, round your answers to two decimal places. Solution details x₁ = _____, x₂ = _____. Its value is _____.