# 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.

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Expert Answers

samhouston | 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**