Graph the Constant-Profit Lines Through (3, 2) and (5, 3)

Multiple Choice

Graph the constant-profit lines through (3, 2) and (5, 3) . Use a straightedge to identify the corner point(s) where the
maximum profit occurs for the given objective function.
-P = x + y

A) Max P = 8 at x = 5 and y = 3
B) Max P = 5 at x = 3 and y = 2
C) Max P = 9 at x = 9 and y = 0, at x = 8 and y = 4, and at every point on the line segment joining the preceding two points.
D) Max P = 12 at x = 0 and y = 12, at x = 8 and y = 4, and at every point on the line segment joining the preceding two points.