marci30
13.06.2020 •
Mathematics
A company charting its profits notices that the relationship between the number of units sold, x, and the profit, P, is linear. If 200 units sold results in $3100 profit and 250 units sold results in $6000 profit, write the profit function for this company
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Ответ:
P = 58x - 8500
Step-by-step explanation:
Given;
If 200 units sold results in $3100 profit and 250 units sold results in $6000 profit
The linear form of the profit function can be written as;
P = mx + c a
Where;
P = profit
x = number of units sold
m = slope
c = intercept
Substituting the given values, we can derive two equations;
3100 = 200m + c 1
6000 = 250m + c 2
Subtracting equation 1 from 2
2900 = 50m
m = 2900/50
m = 58
Substituting m = 58 into equation 1;
3100 = 200(58) + c
c = 3100 - 200(58)
c = -8500
Substituting m and c into the equation a.
Therefore, the profit function of the company is;
P = 58x - 8500
Ответ:
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