SOLUTION: A music store sells beginner guitar sets. The manager uses the equation y = -10x squared + 400x +2250 to model his monthly revenue, y. How many guitar sets, x, should he sell to ea

Question 817595: A music store sells beginner guitar sets. The manager uses the equation y = -10x squared + 400x +2250 to model his monthly revenue, y. How many guitar sets, x, should he sell to earn the maximum revenue?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
y = -10x^2 + 400x + 2250
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the above quadratic equation is in standard form, with a=-10, b=400, and c=2250
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to solve the quadratic equation, plug this:
-10 400 2250
into this: https://sooeet.com/math/quadratic-equation-solver.php
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from the solver above, the quadratic vertex is a maximum at ( x= 20, y= 6250 )
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His maximum revenue is $6250
he achieves that maximum revenue by selling 20 guitar sets
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Solve quadratic equations, quadratic formula:
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