I need a complete solution to the above LP problem. Food Beach, a local grocery store, is building a work schedule for its stockers and has specific requirements over each $24$ hour period $($shown in the table below$).$ Each stocker must work two consecutive shifts.

Part A: Formulate an LP model to minimize the number of workers required to meet requirements.

Part B: Solve the LP $($provide exact values for all variables and the optimal objective function$).$