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Simora [160]
3 years ago
12

Luke's choice behavior can be represented by the utility function u(x1,x2)=x1+x2. The prices of x1 and x2 are denoted as p1 and

p2, and his income is m.
Draw at least three indifference curves and find its slope (i.e. MRS). Is the MRS changing depending on the points of (x1,x2) at which it is evaluated, or constant?
Mathematics
1 answer:
Lunna [17]3 years ago
6 0

Answer:

Step-by-step explanation:

hahaha idk the answer fool

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Solve the system of equations -3x+7y=-18 and 4x-4y=8 by combining the equations.
Aleksandr-060686 [28]

Answer:

\huge \colorbox{red}{(x,y)=(-1,-3)}

Step-by-step explanation:

multiply first equation by 4 and second by 3 respectively:

\begin{cases} \displaystyle - 12x + 28y =  - 72 \\   \:  \: \displaystyle  \: 12x - 12y = 24 \end{cases}

combine the equations:

\underline{ \begin{cases} \displaystyle - 12x + 28y =  - 72 \\   \:  \: \displaystyle  \: 12x - 12y = 24 \end{cases}} \\  \displaystyle16y =  - 48

divide both sides by -48:

\displaystyle \:  \frac{16y}{16}  =  \frac{ - 48}{16}  \\ y =  - 3

substitute the value of y to the second equation

\displaystyle \: 4x - 4. - 3 = 8

simplify multiplication:

\displaystyle \: 4x  + 12 = 8

cancel 12 from both sides:

\displaystyle \: 4x =  - 4

divide both sides by 4

\displaystyle \:  \frac{4x}{4}  =  \frac{ - 4}{4}  \\ x =  - 1

therefore our solution is

\displaystyle (x,y)=(-1,-3)

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