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प्रश्न
The demand function of a commodity at price P is given as, D = `40 - "5P"/8`. Check whether it is increasing or decreasing function.
उत्तर
Given, the demand function is
D = `40 - "5P"/8`
∴ `"dD"/"dP" = 0 - 5/8(1) = (-5)/8 < 0`
∴ The given function is a decreasing function.
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संबंधित प्रश्न
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Solution: Total cost C = 40 + 2x and Price p = 120 − x
Profit π = R – C
∴ π = `square`
Differentiating w.r.t. x,
`("d"pi)/("d"x)` = `square`
Since Profit is increasing,
`("d"pi)/("d"x)` > 0
∴ Profit is increasing for `square`
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