the daily production cost, C, of a special-edition toy car is given by the function f(x)=0.2t^2-10t+650, where C(t) is in dollars...and t is the number of cars made. a) How many cars must be made...

the daily production cost, C, of a special-edition toy car is given by the function f(x)=0.2t^2-10t+650, where C(t) is in dollars...

and t is the number of cars made.

a) How many cars must be made to minimize the production cost?

b) Using thenumber of cars from part (a), determine the cost.

Expert Answers
samhouston eNotes educator| Certified Educator

C = 0.2t^2 - 10t + 650

calculate the vertex

t = -b/2a

t = 10/2*0.2

t = 10/0.4

t = 25

Substitute 25 into original equation to find C.

C = 0.2*25^2 - 10*25 + 650

C = 0.2*625 - 250 + 650

C = 125 - 250 + 650

C = 525

Answer:  25 cars will minimize the production cost to $525