Arrangements

A campus has three horizontal walkways H-A, H-B and H-C and three vertical walkways W1, W2 and W3, meeting at nine intersections. Adjacent intersections are separated by the distances shown in the figure: along every horizontal walkway the W1-W2 gap is 5 m and the W2-W3 gap is 6 m; along every vertical walkway the H-A-H-B gap is 4 m and the H-B-H-C gap is 6 m. The road distance between two intersections is measured along the walkways (shortest path). Six vending machines are placed at six of the nine intersections; each has a DISTINCT integer daily revenue (in thousands of rupees), the smallest being 7 and the largest 15. The number at the end of each walkway is the total revenue of the machine(s) on it: H-A = 22, H-B = 22, H-C = 19, W1 = 24, W2 = 24, W3 = 15. Also known: 1. The machines with the smallest (7) and the largest (15) revenue are on the same walkway. 2. The road distance between the machine with the second-highest revenue and the (H-C, W3) intersection is 12 m.