For the following question 1 formulate a LP model and 2 usin

For the following question, (1) formulate a LP model, and (2) using MATLAB linprog function, find the 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 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. Formulate a linear program that will identify the optimal shipment strategy for your operation to keep your overall costs as low as possible.

Solution

First odf all, we will have to identify,

A+B+C >= Demand

Then we need to multiply it with the amout and how much going to the site.

We can calculate the formula for site 3.