An electronics manufacturer can model their profits in dollars P when they sell x video players by using the function P(x) = -0.1x-0.1x^{2} + 75x - 1000 How many video players can they sell so they make $7500 or less?

with explanation

Using the profit function and a polynomial grapher, it is found that they can make a profit of $7500 or less selling 139 or less disks, or 611 or more.

What is the profit function?

The profit function for selling x disks is given by:

[tex]P(x) = -0.1x^2 + 75x - 1000[/tex]

In this problem, we want that:

[tex]P(x) < 7500[/tex]

Using a graphing calculator, with the graph given at the end of this answer, it is found that this is true for [tex]x \geq 611[/tex] or [tex]x \leq 139[/tex], hence:

They can make a profit of $7500 or less selling 139 or less disks, or 611 or more.

More can be learned about profit function at https://brainly.com/question/4001746

An electronics manufacturer can model their profits in dollars P when they sell x video players by using the function P(x) = -0.1x-0.1x^{2} + 75x - 1000 How many video players can they sell so they make $7500 or less? with explanation

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What is the profit function?

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An electronics manufacturer can model their profits in dollars P when they sell x video players by using the function P(x) = -0.1x-0.1x^{2} + 75x - 1000 How many video players can they sell so they make $7500 or less?

with explanation