Question

Suppose a factory can have no more than 200 workers on a shift, but must have at least 100 and must manufacture at least 3000 units at minimum cost. The managers need to know how many workers should be on a shift in order to produce the required units at minimal cost. Let “x” represent the number of workers and y represent the number of units manufactured.
pls help

Answer 1

Well, 100≤x≤200
and 0<y≤3000

So we're dealing with domain and range here. The correct x will be somewhere between 100 and 200 workers.. There's not really a way to create a specific equation for this, but if there was it would be in the form y = f(x) and y = 3000, so 3000 = f(x) and 100≤x≤200

That's about as much as I was able to deduce from this.

Answer 2

The problem here is to reduce the number of workers (i.e. reduce the cost) and yet manufacture at least 3000 units. So the whole thing can be summarized in two inequations
i)100≤x≤200
ii)3000≤y

Answer 3

The above mentioned inequality can be solved only if we have information about the number of units produced by each worker

Answer 4

thank u guys so much :)

Answer 5

@hero, the inequality " 0<y≤3000" (I think) is not satisfying the problem, what do you say?

Answer 6

I was on the right track though.

Answer 7

But yes, it is incorrect

Answer 8

If it makes you feel any better