A soda bottling plant uses are capital (K), electricity (E) and raw materials (R) in production. Its production technology can be represented by the following function: Q(R, E, K) = R1/3 E²/3 + K where, Q is the number of bottles produced. The capital used in production is fixed at any point in time because it uses a fully automating assembly line production. The plant can only vary the quantity of raw materials and electricity to adjust output or costs. The hourly cost of raw materials (p) is $10 and the hourly rate of energy (h) is $12. The total hourly cost of capital is $100. The marginal productivities of R and E are as follows: 1 MPR =R-2/3 E²/3 , MPE = 2R/³E-1/3 R/3E-1/3 vi) What is the maximum hourly output the plant can produce if K=30? A.) Q= 10.06 B.) Q= 7.02 C.) Q= 37.02 D.) Q= 17.67

A soda bottling plant uses are capital (K), electricity (E) and raw materials (R) in production. Its production technology can be represented by the following function: Q(R, E, K) = R1/3 E²/3 + K where, Q is the number of bottles produced. The capital used in production is fixed at any point in time because it uses a fully automating assembly line production. The plant can only vary the quantity of raw materials and electricity to adjust output or costs. The hourly cost of raw materials (p) is $10 and the hourly rate of energy (h) is $12. The total hourly cost of capital is $100. The marginal productivities of R and E are as follows: 1 MPR =R-2/3 E²/3 , MPE = 2R/³E-1/3 R/3E-1/3 vi) What is the maximum hourly output the plant can produce if K=30? A.) Q= 10.06 B.) Q= 7.02 C.) Q= 37.02 D.) Q= 17.67

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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