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3. Mr. Hunt and Ms. Peck agree to type a manuscript for Professor Paul. The production function for the manuscript is given to be Q=H1/4P3/4 where Q = the number of typewritten pages, H = the number...

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3. Mr. Hunt and Ms. Peck agree to type a manuscript for Professor Paul. The production function for the manuscript is given to be Q=H1/4P3/4 where Q = the number of typewritten pages, H = the number of hours Mr. Hunt spends typing, and P = the number of hours Ms. Peck spends typing. Hunt and Peck receive $4 and $12 per hour, respectively. (A) If Professor Paul decides to minimize the cost of production, how much of Mr. Hunt's and Ms. Peck' s labor will be used to produce a 300-page manuscript? (C) What will be the marginal cost of the 227th page? Will this be greater than, equal to, or less than the average cost of the 227th page?
Answered Same Day Dec 21, 2021

Solution

Robert answered on Dec 21 2021
123 Votes
3. Mr. Hunt and Ms. Peck agree to type a manuscript for Professor Paul. The production function for the
manuscript is given to be
Q=H1/4P3/4 where Q = the number of typewritten pages, H = the number of hours Mr. Hunt spends
typing, and P = the number of hours Ms. Peck spends typing. Hunt and Peck receive $4 and $12 per
hour, respectively.
(A) If Professor Paul decides to minimize the cost of production, how much of Mr. Hunt's and Ms.
Peck' s labor will be used to produce a 300-page manuscript?
Answer:
Q=H^(1/4)*P^(3/4) ………………. (1)
Price of hunt = $4 and price of...
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