For the following question, formulate a LP model, and using MATLAB linprog function, find tire solution You are the manager of a firm that provides fill gravel to construction sites. You purchase the material from three different suppliers (A, B, and C) for $160/ton, $140/ton and $170/ton, respectively, and have a contract to meet weekly demand for gravel at four different sites. The available supply, demand, and per-unit shipping costs for your operation are presented in the table below: For example. Supplier B can provide you a maximum of 1, 206 tons of gravel per week at $140/ton and for every ton of that material you ship to Site 3, you incur a cost of $27.00. You are contracted to supply a total of 720 tons each week to Site 3.

| Suplier | Site 1 | Site 2 | Site 3 | Site 4 | Demand |
| A | $32 | $19 | $42 | $36 | Demand |
| B | $42 | $38 | $27 | $38 | Demand |
| C | $24 | $18 | $26 | $29 | Demand |
| Demand | 460 | 575 | 720 | 670 | Demand |

Formulate a linear program that will identify the optimal shipment strategy for your operation to keep your overall costs as low as possible