7.28. A plant's production function is Q = 2KL + K. For this production function, MPg=2L +1 and MP = 2K. The price of labor services w is $4 and of capital services r is $5 per unit. a) In the short run, the plant's capital is fixed at K = 9K = 9. Find the amount of labor it must employ to produce Q= 45 units of output. b) How much money is the firm sacrificing by not having the ability to choose its level of capital optimally?

Practical Management Science
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7.28. A plant's production function is Q = 2KL + K. For this production function, MPK= 2L + 1 and MP, = 2K. The price of labor services w is $4 and of capital services r is $5 per unit.
a) In the short run, the plant's capital is fixed at K
b) How much money is the firm sacrificing by not having the ability to choose its level of capital optimally?
9K = 9. Find the amount of labor it must employ to produce Q= 45 units of output.
%3D
Transcribed Image Text:7.28. A plant's production function is Q = 2KL + K. For this production function, MPK= 2L + 1 and MP, = 2K. The price of labor services w is $4 and of capital services r is $5 per unit. a) In the short run, the plant's capital is fixed at K b) How much money is the firm sacrificing by not having the ability to choose its level of capital optimally? 9K = 9. Find the amount of labor it must employ to produce Q= 45 units of output. %3D
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