The cost in the short Run for 9 years is $267 is mathematically given as
This is further explained below.
Generally, The idea of the short run proposes that within a certain time frame in the future, at least one of the inputs will be fixed, while the others will continue to be variable.
In the field of economics, it is used to illustrate the concept that the amount of time an economy has to respond to various stimuli may cause it to behave in a variety of different ways.
[tex]Y = min( { x_1, \frac{ x_2}{5}[/tex]
So in short run, x_2 = 60, Y = 9
9 = min { x_1, 12}
Now, for 9 units of Y, the required amount of X1 is 9.
Generally, the equation for the short run is mathematically given as
SR = w_1y_1 + w_2*X_2
SR= 3*9 + 4*60
SR= 27 + 240
SR= $ 267
In conclusion, the cost in the short term for 9 years is $267
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