Which is a zero of the quadratic function f(x) = 4x2 + 24x + 11?
1 answer:
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Answer:
Step-by-step explanation:
Given that a company fixed costs are 400 dollars
and variable cost = per unit and x the no of units produced
Selling price = per unit
a) Break even units
At break even units selling price = variable cost
Break even units = 76
b) Revenue = Sales - total costs
=
Use derivative test to get max revenue
R'(x) =
R"(X) <0
So maximum when I derivative =0 or when
x=38
c) price when x =38 is
The solution of the system of equation is the intersection point of the two quadratic equations, so we need to equate both equations, that is,
So, by moving the term -3x^3+20 to the left hand side, we have
Then, in order to solve this equation, we can apply the quadratic formula
In our case, a=5, b=-3 and c=-30. So we get
which gives
By substituting these points into one of the functions, we have
and
Then, by rounding these numbers to the nearest tenth, we have the following points:
Therefore, the answer is the last option