Problem 3 (10 points; 5 points for each part): Richard has a total utility function of: TU=10q₁ q₁² +2492-92² +9192, where q₁ and q2 are goods. Richard is currently consuming at q₁ = 4 and q₂ = 6, which is also his utility maximizing consumption level. (Richard's optimal point is an interior solution). (a) (b) How much additional utility would Richard receive if he were to increase his consumption of q2 from 6 to 7? (5 points). How much q2 is Richard willing to pay (in terms of q2) in order to consume the 5th unit of q₁? (5 points).

Micro Economics For Today
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Author:Tucker, Irvin B.
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Chapter6: Consumer Choice Theory
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Problem 3 (10 points; 5 points for each part):
Richard has a total utility function of:
TU = 10q₁q₁²+24q2q2² +9192,
where q₁ and q2 are goods.
Richard is currently consuming at q₁ = 4 and q₂ = 6, which is also his utility maximizing consumption
level. (Richard's optimal point is an interior solution).
(a) How much additional utility would Richard receive if he were to increase his consumption of q2
from 6 to 7? (5 points).
(b)
How much q2 is Richard willing to pay (in terms of q2) in order to consume the 5th unit of q₁? (5
points).
Transcribed Image Text:Problem 3 (10 points; 5 points for each part): Richard has a total utility function of: TU = 10q₁q₁²+24q2q2² +9192, where q₁ and q2 are goods. Richard is currently consuming at q₁ = 4 and q₂ = 6, which is also his utility maximizing consumption level. (Richard's optimal point is an interior solution). (a) How much additional utility would Richard receive if he were to increase his consumption of q2 from 6 to 7? (5 points). (b) How much q2 is Richard willing to pay (in terms of q2) in order to consume the 5th unit of q₁? (5 points).
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