A company wants to minimize the cost of shipping a product from 3 different factories to 6 different customers. Each factory has a capacity of upto 50000 units each. Customers 1 to 6 need to be supplied 30000 units, 23000 units, 15000 units, 32000 units, 28000 units, and 16000 units, respectively. How should the company distribute the products? The shipping costs are given in the table below. Minimize the costs of shipping goods from factories to customers, while meeting the demand of each customer. Cost of shipping ($ per product) Destinations Customer 1 Customer 2 Customer 3 Customer 4 Customer 5 Customer 6 Factory 1 $1.75 $2.25 $1.50 $2.00 $1.65 $1.50 Factory 2 $1.90 $2.35 $2.00 $1.75 $1.80 $1.25 Factory 3 $2.00 $2.50 $2.50 $1.50 $1.95 $1.00 QUESTION 1 Refer to the Factory-to-Six-Customers problem and start with the original information. If the capacity of each factory increases by 10000 units, re-calculate the optimal solution. At the new solution, which of the following statements is true? O A. The total shipping costs are $241,200 O B. Quantity shipped from Factory 1 to Customer 3 remains unchanged O C. Both A and B O D. Neither A nor B QUESTION 2 Refer to the Factory-to-Six-Customers problem and start with the original information. At the optimal solution, in terms of quantity shipped, which of the following statements is true? O A. Factory 2 ships the same amount to Customer 3 and Customer 4 O B. Factory 2 ships the same amount to Customer 1 and Customer 2 C. Both A and B O D. Neither A nor B QUESTION 3 Refer to the Factory-to-Six-Customers problem and start with the original information. If the capacity of each factory increases by 10000 units respectively, re-calculate the optimal solution. At the new solution, which of the following statements is true? O A. Factory 2 ships the same amount to Customer 3 and Customer 4 O B. Factory 2 ships the same amount to Customer 1 and Customer 2 O C. Both A and B O D. Neither A nor B QUESTION 4 Refer to the Factory-to-Six-Customers problem and start with the original information. Each customer increases demand by 1000 units. This increased demand has to be met. Re-calculate the optimal solution. At the new solution, which of the following statements is true? O A. The total shipping costs are $259,800 O B. Quantity shipped from Factory 1 to Customer 1 declines by 6000 units O C. Both A and B O D. Neither A nor B QUESTION 5 Refer to the Factory-to-Six-Customers problem and start with the original information. At the optimum solution, the lowest amount shipped to a single customer from a single factory is: O A. From Factory 3 to Customer 5 O B. From Factory 3 to Customer 4 O C. From Factory 2 to Customer 6 O D. Both A and C