Given that the price of a book is $5 and a movie ticket costs $4, the consumer's marginal rate of substitution in equilibrium equals 4/5
To solve for the marginal rate of substitution we have to make use of the formula
= dy/dx = MUy/MUx'
we have x and y to be various items
d'y/d'x is the derivative of good y with respect to good x
From the diagram we would have |(y1-y2)/(x2-x1)
When we enter the values we would have
The rate of substitution in equilibrium
= |(4-8)/10-5)|
= -4/5
Hence the marginal rate of substitution for the equilibrium is I-4/5I
= 4/5
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