# For a pair of supply and demand equations p=-4x2+1...

For a pair of supply and demand equations

p=-4x

^{2}+145 and p=16x+40where x represents the quantity demanded in nis of a 1000 and p is unit n dollars., find equilibrium quantity andprice.

E Q

E P

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## Answers ( 1 )

Question:^{2}+145 andp=16x+40-4X^2+145=16X+40

4X^2+16X-105=0

4X^2+30X-14X-105=0

2X(X+15)-7(2X+15)=0

(X+15)(2X-7)=0

2X-7=0

X=3.5

HENCE EQUILIBRIUM DEMAND 3.5*1000=3500 UNITS

EQUILIBRIUM PRICE IS

P=16*3.5+40=56+40=96 $