Answer:
500
Step-by-step explanation:
The total cost of producing a type of boat is given by C(x) = 13000 - 10x + 0.01x²........ (1), where, x is the number of boats produced.
Now for cost to be minimum [tex]\frac{dC}{dx} =0[/tex]
So, differentiating equation (1), we get - 10 + 0.02x = 0
⇒ x = [tex]\frac{10}{0.02} =500[/tex]
Therefore, 500 total boats should be produced to incur minimum cost. (Answer)