Answer:
4878 discs
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Step-by-step explanation: Â INCOMPLETE QUESTION
Two pieces of information are missing.
1.-The equation relating p (price in $ )
2.-The equation for the total monthly cost.
I FOUND FROM GOGLE THAT POSSIBLES EQUATIONS COULD BE
1.-The equation relating p (price in $ )
p (x) Â = - 0.00051*x + 6 Â
2.-The equation for the total monthly cost.
c(x)  =  600 + 2*x -0.0001*x²
IF WE ASSUME THAT TWO EQUATIONS AS THE MISSING INFORMATION
We have
Profit  =  Income (price of product times number of product) - total monthly cost
Then:
P(x)  =  x* (- 0.00051*x + 6)  -  ( 600+ 2*x -0.0001*x²)
P(x)  = - 0.00051*x² + 6*x  - 600 - 2*x + 0.0001*x²
P(x)  =  -0.00041*x² + 4*x - 600
Taking derivatives on both sides of the equation.
P´(x)  = 2(-0.00041*x) +  4     ⇒  P´(x)  = 0
2(-0.00041*x) +  4  = 0   ⇒  -0.00082*x  = - 4
x = 4 /0.00082
x = 4878