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A new production technology for making vitamins is invented by a college professor who decides not to patent it. Thus, it is available for anybody to copy and put into use. The TC per bottle for production up to 100,000 bottles per day is given in the following table.Output                                 TC___  25,000 ……………………    $50,000  50,000 ……………………    $70,000  70,000 ……………………    $75,000100,000 ……………………    $80,000a. What is ATC for each level of output listed in the table?b. Suppose that for each 25,000‐bottle per day increase in production above 100,000 bottles per day, TC increases by $5,000 (so that, for instance, 125,000 bottles per day would generate total costs of $85,000 and 150,000 bottles per day would generate total costs of $90,000). Is this a decreasing‐cost industry?c. Suppose that the price of a bottle of vitamins is $1.33 and that at that price the total quantity demanded by consumers is 75,000,000 bottles. How many firms will there be in this industry?d. Suppose that instead the market quantity demanded at a price of $1.33 is only 75,000. How many firms do you expect there to be in this industry?e. Review your answers to parts b, c, and d. Does the level of demand determine this industry’s market structure?f. Compare your answer to part d of this question with your answer to part d of problem 3. Do both production technologies show constant returns to scale?