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Tutorial - 1The demand D and the price p of a commodity are related by 100D + 2p = 440.Express i))the demand function, ii)total revenue function in terms of D.Find p(2) and R(3​

Answer»

GIVEN :   demand D and the price p of a commodity are related by 100D + 2p = 440.

To find : i) the demand function, ii)total REVENUE function in TERMS of D.

Step-by-step explanation:

D - Demand

P - price of commodity

100D + 2p = 400

=> 100D  = 400 - 2p

=> D =  (400 - 2p)/100

=> D = 4  - p/50

Demand fucntion  D = 4  - p/50

Total Revenue  = Demand  * Price

=> Total Revenue  = (4  - p/50)p

=> Total Revenue  = 4p  - p²/50

=> R = 4p  - p²/50

100D + 2p = 400 => 50D + p = 200  => p = 50(4 - D)

Total Revenue  =  D 50(40 - D)

= 50 (40D - D²)

= 2000D  - 50D²

R = 2000D  - 100D²   in terms of D

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