Let S represent the amount of steel produced (in tons). Steel production is related to the amount of labor used (L) and the amount of capital used (C) by the following function S - 2020.300.70 In this formula L represents the units of labor Input and the units of capital input. Each unit of labor costs $50, and each unit of capital costs $100. (a) Formulate an optimization problem that will determine how much labor and capital are needed in order to produce 40.000 tons of steel at minimum cost. Min s.t. = 40.000 2.C20 (b) Solve the optimization problem you formulated in part (a). (Hint: When using Excel Solver, start with an initial and C > 0. Round your answers to the nearest Integer) $ at (LC)