00:01
David's utility function is u equals 2b plus z.
00:05
So mub equals 2 and muz equals 1.
00:08
Describe the location of his optimal bundle if possible in terms of the relative prices of b and z.
00:15
So here we're given a perfect substitute utility function, u equals b plus 2z.
00:20
So u equals b plus 2z, the marginal rate of substitution mrs equals the marginal utility of good z over the marginal utility of good b or mu sub z over mu sub b.
00:32
M u sub z is two, m u sub b is one.
00:35
Therefore, the marginal rate of substitution is negative 2 over 1.
00:40
And we get the marginal rate of substitution is the absolute value of that.
00:44
So we get a marginal rate of substitution of two.
00:47
The slope of the budget constraint is equal to the price ratio of the good on the horizontal access to the price of the good on the vertical axis.
00:56
The slope therefore equals negative p sub z over p sub b...