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wavy419
wavy419
20.01.2021 • 
Mathematics

For a certain company, the cost for producing X items is 40x+300 and the revenue for selling x items is 80x-0.5x^2. 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 of the items that it produces. ( Hint: it is a quadratic polynomial).
PartB: find two values of x that will create a profit of $300.
Part C: is it possible for the company to make a profit of $15,000.
x=

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