Utility is a type of function that occurs in economics. When a consumer receives x units of a certain product, a certain amount of pleasure, or utility U, is derived. The graph represents a typical utility function. a) Find the average rate of change of U as x changes from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4. b) Why do the average rates of change decrease as x increases? Utility (pleasure units) AU 200- 150- 100- 50- 0-4 0 (1,79) (2,125) I (3,158) (4,183) 2 Number of units of product

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Utility is a type of function that occurs in economics. When a consumer receives x units of a certain​ product, a certain amount of​ pleasure, or utility​ U, is derived. The graph represents a typical utility function.
Utility is a type of function that occurs in economics. When a consumer receives x units of a certain product, a certain
amount of pleasure, or utility U, is derived. The graph represents a typical utility function.
a) Find the average rate of change of U as x changes from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4.
b) Why do the average rates of change decrease as x increases?
Utility (pleasure units)
200-
150-
U
100- (1,79)
50-
(2,125)
(3,158)
(4,183)
1
3
Number of units of product
Transcribed Image Text:Utility is a type of function that occurs in economics. When a consumer receives x units of a certain product, a certain amount of pleasure, or utility U, is derived. The graph represents a typical utility function. a) Find the average rate of change of U as x changes from 0 to 1; from 1 to 2; from 2 to 3; from 3 to 4. b) Why do the average rates of change decrease as x increases? Utility (pleasure units) 200- 150- U 100- (1,79) 50- (2,125) (3,158) (4,183) 1 3 Number of units of product
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