For a certain company, the cost for producing a items is 40x +300 and the revenue for selling z items is 80x 0.5a2 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.) Part b: Find two values of x that will create a profit of $300. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va, type sqrt(a). Part c: Is it possible for the company to make a profit of $15,000?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
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How would I solve part C?
For a certain company, the cost for producing a items is 40x +300 and the revenue for selling
x items is 80x-
0.522.
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.)
Part b: Find two values of x that will create a profit of $300.
The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or
x + 1; x – 1). The order of the list does not matter. To enter Va, type sqrt(a).
Part c: Is it possible for the company to make a profit of $15,000?
Transcribed Image Text:For a certain company, the cost for producing a items is 40x +300 and the revenue for selling x items is 80x- 0.522. 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.) Part b: Find two values of x that will create a profit of $300. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter Va, type sqrt(a). Part c: Is it possible for the company to make a profit of $15,000?
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