A regional healthcare network needs to efficiently distribute medical supplies from central warehouses

(W1, W2, W3) to various hospitals (H1, H2, H3, H4) and clinics (C1, C2, C3) in different cities. The

shipping cost per unit (in dollars) from each warehouse to each hospital and clinic is as follows:

Shipping Costs:

 | H1 | H2 | H3 | H4

--------------------------------

W1 | 20 | 25 | 28 | 24

W2 | 15 | 18 | 22 | 20

W3 | 28 | 22 | 20 | 25

 | C1 | C2 | C3

-----------------------------

W1 | 25 | 18 | 20

W2 | 20 | 22 | 15

W3 | 18 | 24 | 28

The demand at each hospital and clinic and the supply at each warehouse are as follows:

Demand (in units):

H1: 40

H2: 30

H3: 50

H4: 60

C1: 25

C2: 30

C3: 20

Supply (in units):

W1: 70

W2: 50

W3: 80

Determine the optimal shipment quantities that minimize the total transportation cost.