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the daily production cost, C, of a special-edition toy car is given by the function...

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topgun13 | Honors

Posted November 16, 2011 at 9:27 AM via web

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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.

Tagged with math, quadratics

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samhouston | Middle School Teacher | (Level 1) Associate Educator

Posted November 16, 2011 at 11:43 AM (Answer #1)

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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

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