End term Assignments for PGXPM Batch $20(2023-25)$MonthDemand ForecastJanuary$1800$February$3400$March$3000$April$3700$May$2100$June$2500$ItemCostMaterial cost$$12/$unitInventory holding cost$$1\mathrm{.}5/$unit$/$monthMarginal cost of subcontracting$$4\mathrm{.}5/$unit$/$monthHiring and training cost$$325/$workerLayoff cost$$550/$workerLabor hours required$5/$unitRegular hour cost$$5/$hourOvertime cost$$7\mathrm{.}5/$hourCost of subcontracting$$35/$unitWork hours$/$day $=8$; Work days $/$ month $=24$Maximum overtime hours$/$worker$/$month $=15$Initial workforce level $=75$Starting inventory level $=100.$a$.$ For the above problem, consider the following scenariosi. Scenario $0$: Revenue per each item product $=$ $$35/$unit$.$ii$.$ Scenario $1$: Sales price for Jan $=$ $$33,$ Other months $=$ $$35,$ Consumption in Janincreases by $10\%,$ Forward buying from May and June is $20\%$iii. Scenario $2$: Sales price for Mar $=$ $$33,$ Other months $=$ $$35,$ Consumption in Mar increases by $10\%,$ Forward buying from Apr and May is $20\%$