2. 12 points Elodie has a factory that produces widgets via the following production tech- nology: W : 500L0'2K0'6 where W is the output of widgets, L is labor, K is capital. The wage is $10 per unit of labor used, the rental rate of capital is $0.50 per unit of cap- ital employed. If Elodie wishes to produce as many widgets as possible using the $2000 received from the government to support the business during the coronavirus pandemic, how should the budget be Split between labor and capital