Produktionsmengen berechnen || Mehrstufige Prozesse - Matrizenrechnung ★ Übung 1

Situation: Globe is one of the world's largest producers of skateboards, longboards, and snowboards. To maintain this position, the Australian manufacturer must ensure a constant supply of the necessary raw materials for production. The production of the three end products—skateboard, longboard, and snowboard—is easily explained. Raw materials are processed into intermediate products, and these intermediate products are then assembled, screwed, and glued together to form the final products. The values ​​in the tables are given in units. Exercise 1: Production at Globe a) Represent this production process using a supply chain diagram. b) Provide the production matrices ARZ and BZE. Interpret any two elements of each matrix. c) Calculate the demand matrix CRE. What does the element c2,1 represent? d) Titus Warengesellschaft orders 10 skateboards, 5 longboards, and 4 snowboards. What is the minimum quantity of each raw material that should be in stock to fulfill this order? Exercise 2: Think of your own example from the food service industry. The following profile should help you: Provider: McDonald's End products: Hamburger, Big Mac, Royal TS Intermediate products: Bun, sauce, patty, side dish (salad, etc.) Raw materials: Water, sugar, vegetables, spices, minced meat a) Create overview tables for the units of measure used in production (see Exercise 1). b) Draw a clear supply chain diagram. c) Provide the production matrices ARZ and BZE as well as the demand matrix CRE. d) Calculate how many units of each raw material are needed if 1000 units of each burger are sold to customers in one afternoon. What you can do now!  I know what the production matrices ARZ and BZE represent and that the index provides important information. I understand that the CRE demand matrix specifies, row by row, the raw material input required to produce one unit of the respective end product. I know the formula for calculating the raw material input for total production: