URGENT PLEASE HELP!!!!!

Lego is preparing its aggregate plan for the first six months of 2023. The tables below contain the monthly demand forecast, working days per month, and cost information.

Month	Expected Demand	Production Days
January	150	15
February	250	10
March	200	20
April	250	25
May	350	10
June	400	20

Inventory carrying cost		10	per unit per month
Subcontracting cost per unit		30	per unit
Regular working hours per day		8	hours
Labor-hours to produce a unit		4	hours/unit
Average pay rate		20	per hour
Overtime pay rate		25	per hour
Cost of increasing daily production rate (hiring and training)		200	per unit
Cost of decreasing daily production rate (layoffs)		400	per unit

Lego is considering the following three strategies:

Plan 1: A constant workforce, daily production rate = average requirements

Plan 2: Main a constant workforce at a necessary level to meet the lowest demand month, and to meet all demand above this level by subcontracting.

Plan 3: Hire and lay off workers as needed to produce exact requirements.

Please answer the following questions:

(hint: all numbers are integer, no decimal places are needed)

The average requirements (average daily demand) is _______ units/day.

For Plan 1: (hint: the ending inventory in May should be 80)

The monthly inventory change in January is _________ units.

The ending inventory in April is _________units.

The ending inventory in June is _________ units.

The total inventory carrying cost is $_________.

The total cost is $__________.

For Plan 2: (hint: the total labor cost should be $80000).

Lego needs to hire ________ workers to maintain the workforce.

The production rate is ___________ units/day.

The total in-house production is _______units.

The total subcontracting cost is $________.

The total cost is $________.

For plan 3: (hint: the hiring cost and layoff cost in April is $0).

The total hiring cost is $________.

The total layoff cost is $________.

The total cost is $________.

Plan ________ is the best plan (Fill in the blank with 1, 2, or 3).