A company has the following forecast demand for the next five months: 1,600, 2,400, 3,200, 2,800, and 2,400. The following information is also available. current work force = 15 workdays/month = 20 labor hours/unit = 2 working time/day = 8 hiring cost/worker = $100 layoff cost/worker = $50Inventory, stockouts, overtime, and subcontracting are not allowed. Only hiring and layoff are allowed to respond to fluctuations in demand. Determine the total cost of hiring and layoff during the five-month period.

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guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

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