Question

46. The break-even point for the demand and supply function D =15+2p-pand
S=p2-4p+11, is p =
47. The break-even point of the demand and supply functions D=1-2p+p and S =p? +
p-1 is p =
a. -3
b. 0
c. 2
d. 20
48. The total cost function of producing a certain article is C= x2 -5x+100. Therefore
the average cost of producing 20 such items is.......
a. 10
b. 20
c. 400
d. None of these
49. The demand for a certain goods in the market is D=10-p? where p is its price
Therefore its total revenue when the price is rs. 3 per unit is
a 3
b 1​

Answer 1

Given : demand and supply function

D=15-2p-p²  (this is correction in question)   and  S=p²-4p+11

To Find  : break-even point for the demand and supply

Solution:

demand function

D=15-2p-p²

supply function

S=p²-4p+11

break-even point for the demand and supply is when

Demand = Supply

=> p²-4p+11   =15-2p-p²

=>  2p²  - 2p  - 4 = 0

=> p²  -  p  - 2 = 0

=> (p - 2)(p + 1) = 0

p =  2 or p = - 1

P can not be negative

Hence p = 2

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