A shop is selling stationery through two shops in town, andtheir website allows online orders. They receive online orders fromtwo of their regular customers, each requiring glossy A3 printingpaper. Customer X needs 40 boxes, whereas customer Y needs 60boxes.
The shop in the north side of town has 85 boxes of glossy A3paper in stock, whereas their south side shop has 55 boxes instock. Delivery costs per box are as follows: $0.55 from the northshop to customer X, $0.65 from the north shop to customer Y, $0.45from the south shop to customer X, and $0.60 from the south shop tocustomer Y.
Solve using simplex method and draw a clear graphicalrepresentation of the problem.
a) Develop the optimization problem to minimize the totaldelivery costs for this shop.
b) Identify how many boxes of glossy A3 paper need to be shippedfrom which shop to the two customers. Show your calculations indetail, along with a graphical interpretation of the problem andits solution.
