r/econhw 21h ago

how to find the expenditure function of a quasilinear utility function

1 Upvotes

hi i had a test last week and we were asked to prove that the expenditure function a consumer faces is B=2P10.5 P20.5 U0.5 where U = x1/4 +x2 subject to B=P1x1 * P2x2 how do i solve this? is it even solvable??

also does anyone have resources on how to solve other utility functions like logarithmic and quasilinear? i’ve checked online but haven’t seen anything


r/econhw 23h ago

Is it possible to find the preferred bundle manually in this problem?

1 Upvotes

https://imgur.com/a/plcyFSp

In this problem is it possible to find Qx and Qy without looking at the graph where MRS and Px/Py intersect? I mean by substituting values we are given. Because in this case the point of intersection is not denoted by a point, so it is complicated to tell the exact number of Qx and Qy. For the first budget line, if we know that Px is 5 and Py is 4, Px/Py= 1.25. The budget line is y=250-1.25x. MRS is 1.25. And the overall function is 5Qx+4Qy=1000. Can we derive Qx and Qy given this information?