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. You may use the rubric below to rate your work.
Pa gawa din po ng Sketch plan wag na po yung solving
salamat
Answers
Answer:
Step-by-step explanation:
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. You may use the rubric below to rate your work.
Pa gawa din po ng Sketch plan wag na po yung solving
salamat
The answer is
The answer is y = -15x^2 + 600x +10000 may well be a quadratic representing the assembly of mango trees, however, the amount of mangos per square measure remains required to induce the full mangos created.
How do I solve this Mrs. organic compound would love to extend her production of mangoes.
- She is thinking of extending her ten thousand square measure land together with her ancient 6000 square measure ton close to a watercourse (in quadratic form)?
- If x represents the mango production per square measure, then her production would go from 10000x to 16000x for an increase of hr or a replacement production rate of a hundred and sixtieth of the recent.
- This would not happen in fact. The land close to the watercourse is also adding ional productive or less counting on mango trees roots react to the larger amount of water, the sort of soil and therefore the land preparation.
- The mango trees can need to grow for a variety of years before they become productive and therefore the output can vary counting on the weather.
- This could be around delineated by a polynomial equation of the many degrees and roughly by a quadratic.
- x may well be the time in years. If w have a tendency to area unit on the condition that it takes twenty years for the productivity of the 6000 acres to succeed in the productivity of the ten thousand,
- At x = 0, y = ten thousand; at x = twenty, y = 1600 The distinction is 6000, therefore -6000 = a*20^2
a = -15; -15(x - 20)^2 + 16000
= y; -15x^2 +600x - 6000 +16000 = y
y = -15x^2 + 600x +10000
- If x = zero then y =, ten thousand, check; If x = twenty then y = -6000 + 12000 + ten thousand = 16000 Check.
y = -15x^2 + 600x +10000 may well be a quadratic representing the assembly of mango trees, however, the amount of mangos per square measure remains required to induce the full mangos created.
so the answer is
so the answer isy = -15x^2 + 600x +10000 may well be a quadratic
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