3. Network models by LP. (15 points modeling+5 points question) A company supplies goods to four customers. The company has three warehouses. Warehouse 1 has 40 units available; warehouse 2 has 30 units available; warehouse 3 has 20 units available. Customer 1 requires 30 units; customer 2 requires 20 units; customer 3 requires 15 units; customer 4 requires 25 units. The costs of shipping 1 unit from warehouse to customer are shown in Table 1. The management team wants to minimize the shipping cost. Customer 1 2 3 4 Warehouse 1 $3 $7 $5 $6 2 $2 $10 $8 $5 3 $5 $3 $7 $4 Table 1. Cost of shipping a unit goods. 3.1) Following the 5 steps introduced in class, model the above problem as an LP. Do not solve. 3.2) (Please answer after modeling the problem) What can you say about the problem if customer 4 requires 30 units instead of 25 units