Question

a manufacturers total cost is c(q)=.3q^3-.8q^2+420q+150 dollars when the level of production is q units. the current level of production is 100 units, and the manufacturer is planning to increase this to 102 units. estimate how the total cost will change as a result

Answer 1

c(102) - c(100)

Answer 2

thats the exact change in total cost.
you can also 'estimate' it using differentials

Answer 3

c(102) = c'(100) * 2

Answer 4

dC = dC/dq* dq

Answer 5

would the answer be 74938