The total cost of producing a type of boat is given by C(x)=26000−20x+0.1x2, where x is the number of boats produced. How many boats should be produced to incur minimum cost?

Answer 1

C(x)= 26,000 -20x + 0.1x^2

take the derivative and set = 0

C'(x) = -20 + .2x = 0

x = 20/.2 = 100 boats minimize cost