Answer to Question #315445 in Math for Jack Paul

Question #315445

The demand for seats at a mini soccer match is given by


𝑄=150βˆ’π‘ƒ

2

,

Q=150βˆ’P2,

where 𝑄

QΒ is the number of seats and 𝑃

PΒ is the price per seat. Find the price elasticity of demand if seats cost 𝑅4

R4Β each. What does this value mean?


a.

πœ€π‘‘=βˆ’0,24;inelastic since|πœ€π‘‘

|<1,a1%price increase will result in0,24%less seats to be sold

Ξ΅d=βˆ’0,24;inelastic since|Ξ΅d|<1,a1%price increase will result in0,24%less seats to be sold


b.

πœ€π‘‘=0,24;elastic since|πœ€π‘‘

|>0,a1%price increase will result in0,24%more seats to be sold

Ξ΅d=0,24;elastic since|Ξ΅d|>0,a1%price increase will result in0,24%more seats to be sold


c.

πœ€π‘‘=βˆ’16,75;elastic since|πœ€π‘‘

|>1,a1%price increase will result in16,75%less seats to be sold

Ξ΅d=βˆ’16,75;elastic since|Ξ΅d|>1,a1%price increase will result in16,75%less seats to be sold


d.

πœ€π‘‘=16,75;elastic since|πœ€π‘‘

|<1,a1%price increase will result in16,75%less seats to be sold


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