Question 1199696: For a certain company, the cost for producing x items is 45x+300 and the revenue for selling x items is 85x−0.5x2.
The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit!
Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all the items that it produces. (Hint: it is a quadratic polynomial.)
Part b: Find two values of x that will create a profit of $50.
x=
Part c: Is it possible for the company to make a profit of $2,500?
***I understand that Prfit = Revenue-Cost. And I know that I need to set up the equation as such
(85x-0.5x^2) -(45x+300)
Then I need to work my like terms together. so I will subtract the 85x from the left side as well as the right??? So it would be like this? This is where the confusion starts...
-0.5x^2 -40x + 300
HELP!!!
Answer by ikleyn(52778)   (Show Source):
You can put this solution on YOUR website! .
The correct formula for the profit is -0.5x^2 + 40x - 300.
Your formula in your post is incorrect. You incorrectly combined like terms.
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