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The profit when selling 'x pairs of shoes is defined by the function P(x) = 6x2 – 60x + 126. How many pairs of shoes should be sold to maximize the profit? 04 pairs of shoes O 7 pairs of shoes 6 pairs of shoes O 5 pairs of shoes

User Mehdi Haghshenas
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1 Answer

6 votes
6 votes

Hello!

We have a quadratic equation:


P(x)=6x^2-60x+126

As the coefficient a is positive, the concavity of the parabola will face upwards (so it will have a minimum point).

Look at the graph below:

Now, let's analyze the graph and the alternatives:

• when x = 5, profit is as small as possible

when x = 4 or x = 6, the profit

The profit when selling 'x pairs of shoes is defined by the function P(x) = 6x2 – 60x-example-1
User Dat TT
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