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Question
The supply S of electric bulbs at price P is given by S = 2P3 + 5. Find the marginal supply when the price is ₹ 5/- Interpret the result.
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Solution
Given, supply S = 2p3 + 5
Now, marginal supply = `("dS")/("dp")`
=`"d"/("dp")(2"p"^3 + 5)`
=`2"d"/("dp")("p"^3) + "d"/("dp")(5)`
= 2(3p2) + 0
= 6p2
∴ When p = 5
Marginal supply =`(("dS")/("dp"))_("p" = 5)`
=6(5)2
=150
Here, the rate of change of supply with respect to the price is positive which indicates that the supply increases.
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