5} The Cobb-Douglas production function for a companyr is given by Pt}, I} = 20k2f311f3 5} where P is the monthly production value when k is the number of units of capital and I is the number of units of Labor. Suppose that capital costs $1513L per unit, labor costs $225 per unit, and the total cost of capital and labor is limited to $30,091:]. Use Lagrange mlpliers to write the systEm of equations you would use to nd the number of units of capital and labor that maximize production