Easy-toothy is a price-taking producer of tooth fairy’s sling bags (these are bags for tooth fairies to carry coins and teeth). The following table depicts Easy-toothy’s total cost of producing different quantities of tooth fairy’s sling bags.Output levelTotal Cost ($)0012263x427542Which of the following values of x is consistent with Easy-toothy to optimally produce 3 units of output when the price of tooth fairy’s sling bags is $9/unit?142024There is insufficient information to determine.
Question
Easy-toothy is a price-taking producer of tooth fairy’s sling bags (these are bags for tooth fairies to carry coins and teeth). The following table depicts Easy-toothy’s total cost of producing different quantities of tooth fairy’s sling bags.Output levelTotal Cost (9/unit?142024There is insufficient information to determine.
Solution
To determine the optimal level of production, we need to compare the marginal cost of production with the price of the product. The marginal cost is the cost of producing one more unit of a good.
Step 1: Calculate the marginal cost of producing the third unit.
The total cost of producing 2 units is 3x. Therefore, the marginal cost of producing the third unit is 26.
Step 2: Compare the marginal cost with the price.
The price of the product is $9/unit. Therefore, for Easy-toothy to optimally produce 3 units of output, the marginal cost of producing the third unit should be equal to the price.
So, we have 26 = $9. Solving for x, we get x = (9 + 26) / 3 = 35 / 3 = 11.67.
However, this value is not among the options given. Therefore, there is insufficient information to determine the value of x that is consistent with Easy-toothy optimally producing 3 units of output when the price of tooth fairy’s sling bags is $9/unit.
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