Region FF R PF B
SE     7  2 6  5
NE     8  4 5  3
FW     4  8 2  11
MW     5  4 7  5

Let Region 1 = SE, Region 2 = NE, Region 3 = FW, Region 4 = MW, and let FF = Bank 1, R = Bank 2, PF = Bank 3, and B = Bank 4.
Let xij = daily amount of checks for region i sent from bank j
let yj = 1 if bank j is used and yj = 0 if bank j is not used.

max z = 1.05x11 + .30x12 + .90x13 + .75x14 + 1.2x21 + .60x22 + .75x23 +

st. x11 + x12 + x13 + x14 = 40,000
    x21 + x22 + x23 + x24 = 60,000
    x31 + x32 + x33 + x34 = 30,000
    x41 + x42 + x43 + x44 = 50,000
    x11 + x21 + x31 + x41 <= 90,000 y1
    x12 + x22 + x32 + x42 <= 90,000 y2
    x13 + x23 + x33 + x43 <= 90,000 y3
    x14 + x24 + x34 + x44 <= 90,000 y4
    xij >= 0,
    yj = 0 or 1