b$.$ Develop the best hybrid production plan for the following Scenario.

Month Demand Forecast

January $1800$

February $3400$

March $3000$

April $3700$

May $2100$

June $2500$

Item Cost

Material cost $$12/$unit

Inventory holding cost $$1\mathrm{.}5/$unit$/$month

Marginal cost of subcontracting $$4\mathrm{.}5/$unit$/$month

Hiring and training cost $$325/$worker

Layoff cost $$550/$worker

Labor hours required $5/$unit

Regular hour cost $$5/$hour

Overtime cost $$7\mathrm{.}5/$hour

Cost of subcontracting $$35/$unit

Work hours $/$day $=8$; Work days $/$ month $=24$

Maximum overtime hours$/$worker$/$month $=15$

Initial workforce level $=75$

Starting inventory level $=100.$

c$.$ For the above problem, consider the following scenarios

i$.$ Scenario $0$: Revenue per each item product $=$ $$35/$unit$.$

ii$.$ Scenario $1$: Sales price for Jan $=$ $$33,$ Other months $=$ $$35,$ Consumption in Jan increases 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 $20\%$