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Is this economic model elastic or inelastic?

The daily demand for one-way airline tickets from North Bay to Toronto can be represented by the function
Qd = 15 – P/20
and the supply of airline tickets can be represented by the function
Qs = P/10 – 9
where Qd is the quantity demanded, Qs is the quantity supplied and P is the price of an airplane ticket.

Find both the inverse demand and inverse supply functions.

Determine the equilibrium price and quantity.

What is the price elasticity of demand when the price of an airline ticket drops from $180 to $160?

Given your results in part d, would say that the demand for one-way air travel on this route is elastic or inelastic?

inverse demand function: P = 300- 20Qd
inverse supply function: P = 90+ 10 Qs.
equilibrium price and quantity.can be derived by setting Qs =Qd.
So, 15 – P/20 = P/10 – 9, or, 3P = 480, or, P= 160. Putting this equilibrium value od Price =P=160 in the deamnd or the supply function, we get the equilibrium quantity as Q= Qs= 160/10 – 9 = 16 -9 = 7 or Q =Qd= 15 – 160/20 = 15 – 8 = 7. –
To get the price elasticity, we must use the formula= (dQQ)/ (dP/P)
= (dQd/dP) *(P/Qd) = (-1/20) *(180/6) = – 180/120 = – 1.5
Alternative way of doing this is as follows: At P = 160, Qd= 7, and at P= 180, Qd= 15 – 180/20 = 15- 9 =6.
So, percentage change in demand is 100* (7-6)/6 = 100/6 and
percentage change in price is 100* (160-180)/ 180 = -100/9
Ths price elasticity of demand is = (100/6)/ (-100/9) = – 9/ 6 = -1.5


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