7. A company sells 5 types of specialized boxes, ranging in volume from 20 to 30 cubic feet. The demands and the sizes of the boxes are given in the table below. Size 20 22 24 27 30 Cost 100 200 400 100 200 Demand for a box can be satisfied by a box of larger size. The variable cost of producing a box (in dollars) is equal to its volume. However, a fixed cost of $1000 is incurred for every separate box-creation line. So, for example if we are using size 24 to satisfy the demands of sizes 20, 22 and 24 and size 30 to satisfy the demands of sizes 27 and 30, then the total cost will be : 2 x 1000 + 700 x 24 + 300 x 30. Create a shortest-route network to represent the problem and then use Dijkstra's labeling algorithm to devise the optimal strategy. What is the optimal cost? (25 points) 7. A company sells 5 types of specialized boxes, ranging in volume from 20 to 30 cubic feet. The demands and the sizes of the boxes are given in the table below. Size 20 22 24 27 30 Cost 100 200 400 100 200 Demand for a box can be satisfied by a box of larger size. The variable cost of producing a box (in dollars) is equal to its volume. However, a fixed cost of $1000 is incurred for every separate box-creation line. So, for example if we are using size 24 to satisfy the demands of sizes 20, 22 and 24 and size 30 to satisfy the demands of sizes 27 and 30, then the total cost will be : 2 x 1000 + 700 x 24 + 300 x 30. Create a shortest-route network to represent the problem and then use Dijkstra's labeling algorithm to devise the optimal strategy. What is the optimal cost? (25 points)