3. Consider the profit function for firm that can produce 1 finished good y with 2 factors 1 and 22. Say one factor (factor 2) is fixed. Say the output price is fixed, and the production function is Cobb-Douglas and constant returns to scale. Say further the factor price for factor 1 increases, everything else fixed. Then output can either fall or rise if the firm is profit maximizing. 4. Consider the same setting as question 3. Now, say that the price of the finished output good goes up, everything else fixed. Then the demand for factor 1 must necessarily increase. 5. Again consider the same production setting of question 3, but consider the cost minimization problem in the short-run. In this case, it must be true the cost function is concave in output. True or False?
3. Consider the profit function for firm that can produce 1 finished good y with 2 factors 1 and 22. Say one factor (factor 2) is fixed. Say the output price is fixed, and the production function is Cobb-Douglas and constant returns to scale. Say further the factor price for factor 1 increases, everything else fixed. Then output can either fall or rise if the firm is profit maximizing. 4. Consider the same setting as question 3. Now, say that the price of the finished output good goes up, everything else fixed. Then the demand for factor 1 must necessarily increase. 5. Again consider the same production setting of question 3, but consider the cost minimization problem in the short-run. In this case, it must be true the cost function is concave in output. True or False?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question

Transcribed Image Text:3. Consider the profit function for firm that can produce 1 finished good y
with 2 factors r and r2. Say one factor (factor 2) is fixed. Say the output price
is fixed, and the production function is Cobb-Douglas and constant returns to
scale. Say further the factor price for factor 1 increases, everything else fixed.
Then output can either fall or rise if the firm is profit maximizing.
4. Consider the same setting as question 3. Now, say that the price of the
finished output good goes up, everything else fixed. Then the demand for factor
1 must necessarily increase.
5. Again consider the same production setting of question 3, but consider
the cost minimization problem in the short-run. In this case, it must be true
the cost function is concave in output.
True or False?
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