The table below shows the relationships between different levels of a variable input and the corresponding output with all other inputs held constant. Complete the table and answer the questions that follow. Assume the variable input costs $2.00 each and the output sells for $3.00 each Input Output Total Revenue Total Input Cost Average Marginal Marginal Marginal Physical Physical Value Input Cost Product Product Product XXXX XXXX XXXX XXXX 0 0 s 10 10 22 15 31 20 37 25 41 30 43 35 44 40 GR 45 41 1 What is the profit maximizing amount of input to use? 2. What is the profit at this input level? (Show Work) 3. What is the profit if 15 units of input are used? (Show work) 4 Between 30 and 35 units of input, each additional unit of input a) Increases income by $ b) Increases cost by S c) Increases profit by $ 5 If the input price was $100 instead of S2.00, which column(s) in the table would have different values? 6 7 What is the profit maximizing input level if the output price increases to $5.00 each and input price is still $2.00% Now assume the input is free (te, you can have all you want at no cost). What is the marginal input cost in this situation? b) How much input should be used to maximize profit