Suppose the number of people who believe in rumors is y, then
dy/dt=k(n-y)
Y= 1 when t=0.
First order linear ordinary differential equation, I don't understand.
The second is optimization problem, that is, integer optimization of single objective function.
Let the output of four quarters be X 1, X2, X3 and X4 respectively.
Minimum 5000 * (x1+x2+x3+x4)+(x1-3000) *1500+(x2-3000) *1500+(x3-3000).
Science and technology.
x 1 & gt; 3000
x2 & gt3000
x3 & gt3000
x4 & gt3000
x 1 & lt; 4500
x2 & lt4500
x3 & lt4500
x4 & lt4500
x 1+x2 & gt; 7500
x 1+x2+x3 & gt; 1 1000
x 1+x2+x3+x4 & gt; 16000
The objective function is the sum of normal production cost, overtime cost and inventory cost. I don't know whether the first four items in the constraint need to be added, depending on the specific meaning of the problem, but it should not affect the result, so I can paste the above items directly into lindo to solve it.
As for the restatement of the problem, you can just make it up yourself. The model can be fooled, and there is no big problem. ...