The vertex is (1,2)
The y-intercept is (0,-9)
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The equation of a vertex has the form:
F(x)=a(x-h)^2 + k, where (h,k) is the vertex of the parabola
The Vertex is (1,2)
F(x)=a(x-1)^2 + 2 = a(x^2-2x +1) +2
=ax^2 -2ax +a + 2
=ax^2 - 2ax +(a+2)
Given a quadratic of the from ax^2 + bx +c
b = -2a
I am confused as to what the answer is?
I'm very happy to clarify
what does f(x)=?
I can simplify further as follows
y intercept is always of the form (0, c) meaning (0,-9) means c=-9
-9 = a+2
f(x) =ax^2 - 2ax +(a+2)
A. How many wristwatches must the firm sell to maximize revenue? What is the maximum revenue?
B. Profit is given as P(x)=R(x)-C(x). What is the profit function?
C. How many wristwatches must the firm sell to maximize profit? What is the maximum profit?
A: Find the slope of R(x) and set it equal to zero
-0.4 x = -85
The maximum revenue is
B. P(x)=R(x)-C(x) =85x-0.2x^2-32x-1850
P(x) = 85x-32x-0.2x^2-1850
=53x-0.2x^2-1850 This is the profit function
C. Find the slope of the profit function:
The maximum profit is:
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