The following forecast constitutes the demand for relay switches. John Smith, the production planner, has assembled the following cost data and the quarterly demand forecast:Costs$/$Other Data Previous quarter's output $\backslash (=1300\backslash )$ cases Beginning inventory $\backslash (=350\backslash )$ cases Stock$-$out cost $\backslash (=\backslash$$ $110\backslash )$ per case Inventory holding cost $\backslash (=\backslash$$ $30\backslash )$ per case at the end of quarter Hiring employees $\backslash (=\backslash$$ $40\backslash )$ per case Terminating employees $\backslash (=\backslash$$ $75\backslash )$ per case Subcontracting cost $\backslash (=\backslash$$ $60\backslash )$ per case Unit cost on regular time $\backslash (=\backslash$$ $30\backslash )$ per case Overtime cost $\backslash (=\backslash$$ $20\backslash )$ extra per caseJohn's job is to develop an aggregate plan. The three initial options he wants to evaluate are: $-$ Plan A: a strategy that hires and fires personnel to have m$$nthly production meet the forecast. $-$ Plan B: a level strategy, producing the average forecast by regular time production each month. $-$ Plan C: a level strategy that produces $1,200$ cases per quarter and meets the forecast demand with inventory and subcontracting. a$.$ What is the cost of plan $\backslash ($ A $\backslash )?$ b$.$ What is the cost of plan $\backslash ($ B $\backslash )?$ c$.$ What is the cost of plan C$?\backslash (\backslash$$ $196,500\backslash )$ d$.$ If you are John's boss, the VP for operations, which plan do you implement?