Problem #3 Assume you are the manager of a firm producing a certain product X. The following schedule shows the total production per week of product X. Additionally, assume each unit of product X sells for $10 per unit, workers can be hired in a competitive labor market for $100 per week, and each unit of capital costs $50 per week. Labor (L) Capital (K) Quantity (Q) 0 3 0 1 3 10 2 3 27 3 3 46 4 3 66 5 3 87 6 3 109 7 3 132 8 3 145 9 3 157 10 3 168 11 3 178 12 3 187 13 3 195 14 3 202 15 3 208 1. State the profit-maximization input usage. [from your textbook]. 2. How many workers should be hired? Clearly explain your answer! 3. What will be your firm's profit? Clearly explain your answer!