Math, asked by irfan1728, 9 months ago

solve it guys..Chapter::..Application of derivative.​

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Answered by Anonymous
3

Answer:

SOLUTION:

given, P(x) = 41 - 72x - 18x²

differentiate with respect to x ,

dP(x)/dx = 0 - 72 - 36x = -72 - 36x

now, put dP(x)/dx = 0 = -72 - 36x

x = -2

let's check , d²P(x)/dx² at x = -2

d²P(x)/dx² = -36 < 0

hence, P(x) will be maximum at x = -2

so, maximum value of P(x) = P(-2)

= 41 - 72(-2) - 18(-2)²

= 41 + 144 - 72

= 185 - 72

= 113

hence, maximum profit that a company can make is 113 units

Answered by kaursimranjot46
0

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