Intermediate Microeconomics and Its Application 12th Edition by Walter Nicholson,Christopher Snyder

تمرين 15

The production function for puffed rice is given by
where q is the number of boxes produced per hour, K is the number of puffing guns used each hour, and L is the number of workers hired each hour.
a. Calculate the q = 1,000 isoquant for this production function and show it on a graph.
b. If K = 10, how many workers are required to produce q = 1,000? What is the average productivity of puffed-rice workers?
c. Suppose technical progress shifts the production function to Answer parts a and b for this new situation.
d. Suppose technical progress proceeds continuously at a rate of 5 percent per year. Now the production function is given by q = (1.05) t where t is the number of years that have elapsed into the future. Now answer parts a and b for this production function.
(Note: Your answers should include terms in (1.05) t. Explain the meaning of these terms.)