please answer all and work

4. If you choose this question, you must answer both parts. a. Consider the ABC inventory classification system. Identify an example of each type of inventory that you might find at a grocery store that only sells food. b. What is the difference between and push and pull inventory management systems? Which one do you want for lean? 5. Lean Term Matching 1. system of continuous improvement; "change for the good of all" 2. a foolproof device or system that prevent defects from occurring a. jidoka b. kaizen 4. authority to stop the production line c. pokayoke d. kanban e. andon f. muda 6. Consider this MINIMIZATION linear programming problem with the graph drawn for you. Find all possible optimal solutions and identify THE optimal solution. Note that you can use the graph for your answers without having to use algebra. Make sure you calculate z for each possible solution before identifying the best solution. minz=x1+2x2subjecttox1+2x2>=102x1+x2>=10x1+x2>=8