Question 1192771
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A widget manufacturer estimates that her monthly revenue can be modeled by the function 
R(x)=-0.006x^2+32x-10,000. What is the minimum number of items that must be sold 
for the revenue to equal $30,000?
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<pre>
To answer the question, you should solve this quadratic equation

    -0.006x^2 + 32x - 10000 = 30000


and take its lesser root.  Reduce the equation to the standard form quadratic equation

    0.006x^2 - 32x + 40000 = 0


and apply the quadratic formula.  You will get the roots

    {{{x[1]}}} = 2000,   {{{x[2]}}} = 3333.33.


Your <U>ANSWER</U> is the value  x= 2000.
</pre>

Solved.


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On solving quadratic equations using the quadratic formula, &nbsp;see the lessons 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Introduction-Into-Quadratics.lesson>Introduction into Quadratic Equations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/proof-of-quadratic-by-completing-the-square.lesson>PROOF of quadratic formula by completing the square</A>

in this site.