Real-World Applicationshard
0:00.0

A manufacturing plant has a production function Q(K,L)=10K0.6L0.4Q(K, L) = 10K^{0.6}L^{0.4}, where KK is capital and LL is labor. If capital costs \100perunitandlaborcostsper unit and labor costs$50perunit,andthetotalbudgetisper unit, and the total budget is$5000,whatistheoptimalratioof, what is the optimal ratio of KtotoL$ to maximize production?