Answer:
It must sell 1,375 patterns each month in order to attain maximum profit, and that maximum profit is $3,181.25
Explanation:
In order to find the number of patterns that will translate into the maximum profit for the compamy, first we have to consider that the equation given is actually a parabola, and its vertex, when we draw it (Y equals profit and X equals units) proposes the maximum profit possible (if the formula continues to describe the company´s profit).
With that in mind, the general equation of a parabola is as follows.
![y(x)=ax^{2} +bx+c](https://tex.z-dn.net/?f=y%28x%29%3Dax%5E%7B2%7D%20%2Bbx%2Bc)
in our case
a= - 0.002
b= 5.5
c= -600
And the formula, to find the quantity that will provide the maximum profit (x coordinate of the parabola) is as follows.
![x_{vertex}=\frac{-b}{2a}](https://tex.z-dn.net/?f=x_%7Bvertex%7D%3D%5Cfrac%7B-b%7D%7B2a%7D)
Therefore
![x_{vertex}=\frac{-5.5}{2(-0.002)} =1375](https://tex.z-dn.net/?f=x_%7Bvertex%7D%3D%5Cfrac%7B-5.5%7D%7B2%28-0.002%29%7D%20%20%3D1375)
Now, if we want to find what is going to be this maximum profit in terms of dollars, we just have to substitute x for 1,375 in the equation given, that is.
![y(1375)=-0.002(1375)^{2} +5.5(1375)-600=3181.25](https://tex.z-dn.net/?f=y%281375%29%3D-0.002%281375%29%5E%7B2%7D%20%2B5.5%281375%29-600%3D3181.25)
Best of luck.
Answer:
2) prestige.
Explanation:
Buyers who are aware of Firm’s prestige might desire to purchase its products because price no longer remains a limiting factor.
Answer:
The commision earned for the broker will be of 4,860 dollars
Explanation:
<em><u>First, we solve for the selling price</u></em>
the property sold at 4% less that is
87,500 x (1 - 0.04) = 84,000
<em><u>Now we calculate the commision </u></em>
the commision is 7% on the first 50,000 and the n 4% for the rest:
50,000 x 7% = 3,500
(84,000 - 50,000) x 4% = 1,360
total commision 3,500 + 1,360 = 4,860
To bet , play games for money , risky .
A tariff by definition is a tax to be paid on a particular class of imports or exports. so if people had to start paying extra for imported cars the demand for imported cars would be reduced and the demand for more domestic vehicles would rise.