QuestionFind the weekly profit function from cost and revenue .
Studdy Solution
STEP 1
Assumptions1. The cost function is given by
. The revenue function is given by
3. The profit function is the difference between the revenue and cost functions
STEP 2
We can write the profit function, , as the difference between the revenue function, , and the cost function, .
STEP 3
Now, we can substitute the given functions and into the equation for .
STEP 4
Now, we can simplify the equation by distributing the negative sign on the right side of the equation to each term inside the parentheses.
STEP 5
Next, we can combine like terms to further simplify the equation.
STEP 6
Finally, we can simplify the coefficient of .
So, the store's weekly profit function, , is .
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