The cost, in millions of dollars, for a company to manufacture x thousand speed boats is given by the function C(x) = 3x2 - 30x
+ 175. Find the number of speedboats that must be produced to minimize the cost.
1 answer:
Answer:
5000
Step-by-step explanation:
In vertex form, the cost function is ...
C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)
C(x) = 3(x -5)² +100
The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.
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f
(
x
)
=
x
Step-by-step explanation:
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