Question

The aggregate demand for good X is Q​ = 20 minus ​P, and the market price is P​ = $8. What is the maximum amount that consumers are willing to pay for the quantity demanded at this​ price?

Answer 1

Answer:

so maximum amount that consumers are willing to pay for the quantity demanded at this​ price = $168

Explanation:

given data

Q​ = 20 - ​P

P​ = $8

to find out

maximum amount that consumers are willing to pay for the quantity demanded at this​ price

solution

we get here demand at current market price that is

Q = 20 - P

Q = 20 - 8

Q = 12

and Total expenditure incurred will be at at current market price will be

Total expenditure incurred  = Price × Quantity ..................1

Total expenditure incurred  = $8 × 12

Total expenditure incurred  = $96

and

we get price when Q = 0

Q = 20 - P  

P = 20

so now consumer surplus will be here as

consumer surplus = 0.5 × ( Price when(Q = 0) - Current market price) × Quantity ............................2

put her value we get

consumer surplus = 0.5 × ( 20 - 8 ) × 12

consumer surplus = $72

and

now we get maximum amount that is

maximum amount = Current expenditure + Consumer surplus  

maximum amount = $96 + $72

maximum amount = $168

so maximum amount that consumers are willing to pay for the quantity demanded at this​ price = $168