The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand automobile tires is approximated by P(x) = -x³ + 15x²+72x-200, x2 5. Find the number of hundred thousands of tires that must be sold to maximize profit. Find the maximum profit. The maximum profit is $ when hundred thousand tires are sold.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand automobile tires is approximated by P(x) = -x³+15x²2 +72x-200, x 25. Find the number of hundred
thousands of tires that must be sold to maximize profit. Find the maximum profit.
The maximum profit is $when
hundred thousand tires are sold.
Transcribed Image Text:The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand automobile tires is approximated by P(x) = -x³+15x²2 +72x-200, x 25. Find the number of hundred thousands of tires that must be sold to maximize profit. Find the maximum profit. The maximum profit is $when hundred thousand tires are sold.
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