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The Cobb-Douglas production function is a classic model from economics used to model output as a function of capital and labor. It has the form f(L,C) = co LC1 CC2 where co, ci, and ca are constants. The variable L represents the units of input of labor and the variable C represents the units of input of capital. a. In this example, assume co = 8, C1 = 0.75, and C2 = 0.25. Assume each unit of labor costs $75 and each unit of capital costs $25. With $50,000 available in the budget, develop an optimization model for determining how the budgeted amount should be allocated between capital and labor in order to maximize output. If your answer is zero enter "O". 75 X 25 Max 3 XL C s.t. 75 L + 25 C