Question

Suppose that a recent scandal has resulted in bad publicity for Uber. As a result, a...

Suppose that a recent scandal has resulted in bad publicity for Uber. As a result, a ride with Uber (x subscript 1) no longer provides you with the same level of satisfaction as a ride with Lyft (x subscript 2). In fact, a ride with Lyft provides you with double the satisfaction. That being the case, your preferences can be represented by the following utility function:

U space equals space u left parenthesis x subscript 1 comma x subscript 2 right parenthesis space equals x subscript 1 plus 2 x subscript 2

Further, let's suppose that you have a budget (I) of $21, riding with Lyft costs $1 per mile (p subscript 2), and given their recent bad publicity, Uber has reduced their per mile price (p subscript 1) to $0.70.

Derive an equation for your budget line. [Hint: I am looking for something in slope-intercept form.]

a.

x subscript 2 equals negative 1.43 x subscript 1 plus 30

b.

x subscript 2 equals space 0.7 x subscript 1 plus 21

c.

x subscript 2 equals 1.43 x subscript 1 plus 30

d.

x subscript 2 equals negative 0.7 x subscript 1 plus 21

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Answer #1

Correct option: (d)

Reason: As per budget constraint,

P1X1 + P2X2 = M

Substituting values,

0.7x1 + 1x2 = 21

Or,

x2 = -0.7x1 + 21

Hence, correct option is (d)

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