The profit, P ( in millions of pesos ), for a flash drive manufacturer can be modeled by P= n³ + 2n² where n ( in millions ) is the number of flash drive produced. How many flash drives was produced if the profit reached 60 million pesos?
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Answer: There will be _____ flash drives produced.
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Answer: There will be _____ flash drives produced.
Answers & Comments
Answer:
To find the number of flash drives produced when the profit reached 60 million pesos, we can substitute P = 60 into the profit equation and solve for n.
Step 1: Substitute P = 60 into the equation P = n³ + 2n²:
60 = n³ + 2n²
Step 2: Rearrange the equation to form a cubic equation:
n³ + 2n² - 60 = 0
Step 3: Factorize the equation if possible. In this case, it is not easily factorizable.
Step 4: Use numerical methods or a graphing calculator to find the value of n that satisfies the equation.
Step 5: By using numerical methods or a graphing calculator, we find that n ≈ 3.68.
Step 6: Since n represents the number of flash drives produced in millions, we round the value of n to the nearest whole number.
Step 7: Therefore, there will be approximately 4 million flash drives produced when the profit reaches 60 million pesos.
Step-by-step explanation:
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