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breannacaraballo
31.03.2020 •
Mathematics
An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation f(x).
x - 2y = 14
A.f(x) = x - 14
B.f(x) = - x + 7
C.f(x) = x - 7
D.f(x) = -x + 7
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Ответ:
The minimum number of hats should company sell to make profit is 401.
Step-by-step explanation:
Given that,
Price of each hat is $ 15.Total Revenue for all hats manufacturing cost is y. it has a y-intercept of 7920 and having a vertex of (150 , 9000) .
To find :
Minimum number of hats the company must sell to make an profit.
From Question:-
Let the number of hats be x.
then total revenue for all hats will be![y = 15x](/tpl/images/0574/4638/feda8.png)
quadratic function given by vertex (h, k) is![y = a(x-h)^{2} + k](/tpl/images/0574/4638/36ac9.png)
So, using this quadratic function of cost finding the value of (a) we get,
Now putting the value of y-intercept (0,7920) we get
Here We know that,
for making profit the above function should be equal to Zero.
solving the quadratic we get the value of x are (401 , - 412.5) So, Neglecting the negative value of x.
Hence the minimum number of hats should company sell to make profit is 401.