Use this graph to answer the questions.

The X Y-coordinate plane is given. There are 3 solid lines, 1 dashed line, and 5 regions on the graph.

• The first solid line enters the window at the point (0, 12) on the positive Y-axis labeled "A," goes down and right, passes through the approximate point (4.3, 8.6) labeled "B" crossing the second solid line, passes through the approximate point (10.2, 3.8) labeled "C" crossing the third solid line, and exits the window at the point (15, 0) on the positive X-axis.
• The second solid line enters the window at the point (0, 15) on the positive Y-axis, goes down and right, passes through the approximate point (4.3, 8.6) labeled "B" crossing the first solid line, and exits the window at the point (10, 0) on the positive X-axis labeled "E."
• The third solid line enters the window at the origin, goes up and right, passes through the point (8, 3) labeled "D" crossing the second solid line, passes through the approximate point (10.2, 3.8) labeled "C" crossing the first solid line, and exits the window in the first quadrant.
• The dashed line enters the window at the point (0, 14) on the positive Y-axis, goes down and right, and exits the window at the approximate point (7.8, 0) on the positive X-axis.
• The first region labeled "I" is above the first solid line, above the second solid line, and above the third solid line.
• The second region labeled "II" is below the first solid line, above the second solid line, and above the third solid line.
• The third region labeled "III" is below the first solid line, below the second solid line, above the third solid line, and right of the vertical axis.
• The fourth region labeled "IV" is below the second solid line, below the third solid line, and above the horizontal axis.
• The fifth region labeled "V" is below the first solid line, above the second solid line, below the third solid line, and above the horizontal axis.

Max	18X + 10Y
s.t.
	12X + 15Y		180
	15X + 10Y		150
	3X 8Y		0
	X, Y 0

(a)

Which area (I, II, III, IV, or V) forms the feasible region?

(b)

Which point (A, B, C, D, or E) is optimal?

(c)

Which constraints are binding? (Select all that apply.)

12X + 15Y 180

15X + 10Y 150

3X 8Y 0

(d)

Which slack variables equal zero? (Select all that apply.)

S₁

S₂

S₃