Exercise $4(5$ points$)$

An enterprise M pays regular$-$time wages of $$2,500$ per employee per period $($including undertime$).$ The overtime pay rate is $2$ times the cost of regular time. Overtime per worker cannot exceed $20\%$ of the regular time.

Hiring a new employee costs $$3000.$ Layoff costs are $$3000$ per employee.

Currently, $10$ employees work for the enterprise M$.$ No delays in service, or backorders, are allowed. The forecast demand considered for the S&OP is provided below.

a$.(3$ points$)$ Develop a workforce plan that uses the level strategy.

Inputs period

$1234$ Total

Forecast $11121514$

Workforce level:

Undertime

overtime

Utilized

hires

layoffs

Costs

utilized cost

undertime

overtime

hire cost

layoff cost

Total

b$.(2$ points$)$ Considering the mixed strategy, many solutions are possible. Knowing that the workforce level at each period should be within a range $[$min$,$ max$].$ What is the range $[$min$,$ max$]$ for each period? Deduce the number of possible solutions.

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