hi guys! i need some help on my assignment. it would be helpful if anyone of the experts right here could help me answer the question.

ps: please include the way to find the solution if you don't mind.

thanks a lottt

64. The National Cereal Company produces a Light-Snak cereal package with a selection of sm pouches of four different cereals Crunchies, Toasties, Snakmix, and Granolles. Each cerea produced at a different production facility and then shipped to three packaging facilities, wher the four different cereal pouches are combined into a single box. The boxes are then sent to one of three distribution centers, where they are combined to fill customer orders and shipped. The following diagram shows the weekly flow of the product through the production, packaging, and distribution facilities (referred to as a "supply chain"): Ingredients Production Packaging Distribution 68 60 50 1 55 60 on Ingredients capacities (per 1,000 pouches) per week are shown along branches 1-2, 1-3, 1-4, and 1-5. For example, ingredients for 60,000 pouches are available at the production facility, as shown on branch 1-2. The weekly production capacity at each plant (in 1.000s of pouches) is shown at nodes 2. 3. 4, and 5. The packaging facilities at nodes 6, 7, and 8 and the distribution centers at nodes 9. 10, and 11 have capacities for boxes (1,000s) as shown. The various production, packaging, and distribution costs per unit at each facility are shown in the following table: Facility Unit cost 2 $0.17 3 0.20 4 0.18 5 0.16 6 0.26 7 0.29 8 0.27 9 0.12 10 0.11 11 0.14 Weekly demand for the Light-Snak product is 37,000 boxes. Formulate and solve a linear programming model that indicates how much product must be pro- duced at each facility to meet weekly demand at the minimum cost. 5. A car manufacture