A local company manufactures netbook computers. Their profit function is given by this equation: y equal minus x to the power of 2 plus 100 x plus 4000 where x is the number of netbooks produced in one day and y is the profit (in dollars) the company makes that day. What is the maximum profit that the company can make?

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29-04-2017
Mathematics

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A local company manufactures netbook computers. Their profit function is given by this equation: y equal minus x to the power of 2 plus 100 x plus 4000 where x is the number of netbooks produced in one day and y is the profit (in dollars) the company makes that day. What is the maximum profit that the company can make?

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BlueSky06 BlueSky06 · Answer 1 · 2017-05-12T23:32:43+02:00

The equation described above can also be written as,
y = -x² + 100x + 4000
To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero.
dy/dx = -2x + 100 = 0
The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit.
y = -(50^2) + 100(50) + 4000 = 6500
Thus, the maximum profit that the company makes is $6,500/day.

jilliansgodfrey jilliansgodfrey · Answer 2 · 2020-12-18T20:16:00+01:00

jilliansgodfrey jilliansgodfrey

18-12-2020

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