- The constraints and objective function in linear form

- Define the meaning of each variable

- Explain purpose of the constraints

How would Q3, parts a) & b) be answered based on the provided data.

For the months of January and March, costs and demands are as follows January unit production costs capacities Plant 1 47 800 Plant 2 51 1000 February unit production costs capacities Plant 1 50 700 Plant 2 53 900 March unit production costs capacities Plant 1 57 900 Plant 2 55 1100 January demand Market 6 850 Market 7 750 February demand Market 6 950 Market 7 650 March demand Market 6 750 Market 7 850 DEF has the possibility of storing widgets at its warehouses. The storage costs per widget from one month to the next are January - February Unit cost Warehouse 4 15 Warehouse 5 20 February - March Unit cost Warehouse 4 20 Warehouse 5 15Q3: Suppose there are monthly fixed costs for operating the distribution center and the warehouses. If DEF does not use a facility in a given month, it avoids paying the monthly fixed cost for that facility for that month. _ Distribution center 3 m -m- -M- a} Formulate an optimization model that will minimize the total cost for DEF for the month of January. b] Formulate an optimization model that will minimize the total cost for DEF for January through March. Note that if a warehouse has widgets in storage from one month to the next one, then that warehouse was in use in both months