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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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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