Mrs. Ester would like to increase her production of mangoes due to its high
demand in the market. She is thinking of extending her 10,000 square meter land
with her adjacent 6,000 square meter lot near a river. Help Mrs. Ester by making a
sketch plan of the possible extension to be made in order for her to maximize her
profit. Out of the given situation and the sketch plan you made, formulate as many
quadratic equations then solve by factoring.
Pa Help po!!
demand in the market. She is thinking of extending her 10,000 square meter land
with her adjacent 6,000 square meter lot near a river. Help Mrs. Ester by making a
sketch plan of the possible extension to be made in order for her to maximize her
profit. Out of the given situation and the sketch plan you made, formulate as many
quadratic equations then solve by factoring.
Pa Help po!!
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ANSWER
GIVEN
Extending x+10000 meter lot to her x+6,000 square meter lot
(x+10,000)(x+6000)
x² + 6,000x + 10,000x + 60,000,000
x² + 16,000x + 60,000,000
x= -10,000 | x= -6,000
CHECKING
x² + 16,000x= -60,000,000
(-10,000)² + 16,000(-10,000)= -60,000,000
100,000,000 + (-160,000,000)= -60,000,000
-60,000,000= -60,000,000
x² + 16,000x= -60,000,000
(-6,000)² + 16,000(-6,000)= -60,000,000
36,000,000 + (-96,000,000)= -60,000,000
-60,000,000 = -60,000,000
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