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Richard predicted that the number of mango trees x planted in a farm could yield y = -20x² + 2800x mangoes per year. how many trees should be planted to produce the maximum number of mangoes per year?

Sagot :

Answer:

Step-by-step explanation:

to get the maximum value of y which represents the number of mangoes per year, you need to get the derivative of the equation.

[tex]y=-20x^{2} +2800x[/tex]

[tex]y'=-40x+2800[/tex]

for maximum value of y, y' should be zero.

[tex]0=-40x+2800\\40x=2800\\x=70[/tex]

ibig sabihin 70 trees ang dapat na itanim para maximum yung mangoes na maproduce. hope this helps.