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valkas [14]
3 years ago
5

The function C(x)=600x-0.3x^2 represents the total costs for a company to produce a product, where C is the total cost in dollar

s and x is the number of units sold. what number of units would produce a maximum cost?
Mathematics
2 answers:
tatiyna3 years ago
8 0
C(x)=- 0.3x^2+600x
y=ax^2+bx+c
it shows a upside down parabola equation.
to find maximum value we need to find its vertex(h,k)
as this is a standard quadratic equation we need to see parabolis equation too
y=a(x-h)^2+k
if u see this eq^n K would be the maximum value of Y if x=h.
  where h,k are vertex of parabola.

h=-b/2a(derived standard formula)
C(x)=- 0.3x^2+600x
y=ax^2+bx+c
a= -0.3 b=600
h=-600/-0.3
h= 2000
put h in place of x to get K
K= -0.3(2000)^2+600(2000)
K= - 1200000+1200000
K=0

u gets k=0
means C(x)=0
600x= -0.3x^2
600= 0.3x
x=6000/3
x= 2000 units


Svetlanka [38]3 years ago
7 0

Answer:

What number of units would produce a maximum cost? 1,000

What is the maximum cost? 300,000$

Step-by-step explanation:

I just did the assignment :)

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anastassius [24]

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Step-by-step explanation:

Any quadratic function represented graphically by a parabola

1. If the coefficient of x² is positive, then the parabola open upward

  and its vertex is a minimum point

2. If the coefficient of x² is negative, then the parabola open

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∴ a = 3 , h = 2 , k = 1

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∴ The coordinates of the vertex point are (2 , 1)

The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1)

Learn more:

You can learn more about quadratic function in brainly.com/question/1357167

#LearnwithBrainly

6 0
3 years ago
Read 2 more answers
the interest on an investment varies directly as the rate of of interest. if interest is $47 when interst rate is 5% find the in
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Step-by-step explanation:

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