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Ne4ueva [31]
3 years ago
5

The profit function for a new product is given by p(x) = -4x^2+28x-40, where x is the number sold in thousands. How many items m

ust be sold for the company to break even?
Mathematics
1 answer:
Ivenika [448]3 years ago
3 0
The break even point is when profit is equal to zero, or in this case when p(x)=0

4x^2-28x+40=0

4(x^2-7x+10)=0

4(x^2-2x-5x+10)=0

4(x(x-2)-5(x-2))=0

4(x-5)(x-2)=0

So the break even points are when x=2 and 5, which is when 2000 and 5000 units are sold.
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Solve the system of equations. y = -5x + 24 y = 4x - 21 a. ( -5, -1) c. ( -1, 5) b. ( 5, -1) d. No solution
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y = -5x + 24

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Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.

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Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

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(I'll do both but u only need one)

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