The supply S for a commodity at price P is given by S = P2 + 9P − 2. Find the marginal supply when price is 7/-. - Mathematics and Statistics

Sum

The supply S for a commodity at price P is given by S = P2 + 9P − 2. Find the marginal supply when price is 7/-.

Solution

Given, S = P2 + 9P – 2

Marginal supply = ("dS")/("dP")

= "d"/("dP")("P"^2 + 9"P" -2)

= "d"/("dP")("P"^2) + 9"d"/("dP")("P") - "d"/("dP")(2)

= 2P + 9(1) – 0
= 2P + 9
When P = 7,

Marginal supply =(("dS")/("dP"))_("P" = 7)

= 2(7) + 9
= 14 + 9
= 23
∴ Marginal supply is 23, at P = 7.

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Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 9 Differentiation
Exercise 9.2 | Q II. (10) | Page 123
Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 9 Differentiation
Miscellaneous Exercise 9 | Q III. (9) | Page 124