Concept explainers
The weekly profits of two different companies selling similar items that opened for business at the same time are modeled by the equations shown below. The profit is represented by
According to the projections, what week(s) did the companies have the same profit? What was the profit of both companies during the week(s) of equal profit?
Company A:
Company X:
To find the week that the company have same profit
Answer to Problem 13P
The profit is $3965 at 78 week and the profit is $2165 at 42 week.
Explanation of Solution
Given information:
The equation is
Calculation: The equation can be obtained as
Substitute the value of y from equation 2 to equation 1
Solve the above equation by quadratic formula,
Therefore,
Solving for the corresponding y value using equation 2
Hence,
The profit is $3965 at 78 week and the profit is $2165 at 42 week.
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