There are seven types of boxes, with sizes and demands for each type given in the table. The unit cost of a box is equal to the size, and there is an initial cost of 1000 to produce each type of box. Demand for a particular box may be satisfied with a larger box. Formulate and solve the shortest path problem LIKE ACYCLIC NETWORK PROBLEM to determine the number of boxes of each type to minimize cost of meeting the demand.

3 4 5 6 7 Box 1 2. Size 17 18 Demand 200 400 19 24 26 30 33 300 400 200 700 500 3 4 5 6 7 Box 1 2. Size 17 18 Demand 200 400 19 24 26 30 33 300 400 200 700 500