Plan production for a four$-$month period $($February through May$).$

Given information:

$$ For February and March, you should produce to exact demand forecast.

$$ For April and May, you should use overtime and inventory with a stable workforce; stable means that the number of workers needed for March will be held constant through May. However, government constraints put a maximum of $5,000$ hours of overtime labor per month in April and May $($zero overtime in February and March$).$

$$ If demand exceeds supply, then backorders occur.

$$ There are $100$ workers on January $31.$

$$ You are given the following demand forecast: February, $80,000$; March, $64,000$; April, $100,000$; May, $40,000.$

$$ Productivity is four units per worker hour, eight hours per day, $20$ days per month.

$$ Assume zero inventory on February $1.$

$$ Costs are hiring, $$50$ per new worker; layoff, $$70$ per worker laid off; inventory holding, $$10$ per unit$-$month; straight$-$time labor, $$10$ per hour; overtime, $$15$ per hour; backorder, $$20$ per unit.

Find the total cost of this plan $($you can use the table below$).$Plan production for a four$-$month period $($February through May$).$

Given information:

For February and March, you should produce to exact demand forecast.

For April and May, you should use overtime and inventory with a stable workforce; stable means that the

number of workers needed for March will be held constant through May. However, government constraints

put a maximum of $5,000$ hours of overtime labor per month in April and May $($zero overtime in February

and March$).$

If demand exceeds supply, then backorders occur.

There are $100$ workers on January $31.$

You are given the following demand forecast: February, $80,000$; March, $64,000$; April, $100,000$; May, $40,000.$

Productivity is four units per worker hour, eight hours per day, $20$ days per month.

Assume zero inventory on February $1.$

$,$ Costs are hiring, $$50$ per new worker; layoff, $$70$ per worker laid off; inventory holding, $$10$ per unit$-$month;

straight$-$time labor, $$10$ per hour; overtime, $$15$ per hour; backorder, $$20$ per unit.

Find the total cost of this plan $($you can use the table below$).$