A factory produces product A according to the production function QA = 100XA, where XA denotes the amount of input and Qa is the quantity produced. It also produces product B according to the production function QB = 200XB - XB², where XB denotes the amount of input and QB is the quantity produced. The total available amount of input X is 100 units. The firm’s profit-maximizing allocation of input X is: a) XA = 60 and XB = 40. b) XA = 50 and XB = 50. c) XA = 0 and XB = 100. d) XA = 100 and XB = 0. %3D |3D
A factory produces product A according to the production function QA = 100XA, where XA denotes the amount of input and Qa is the quantity produced. It also produces product B according to the production function QB = 200XB - XB², where XB denotes the amount of input and QB is the quantity produced. The total available amount of input X is 100 units. The firm’s profit-maximizing allocation of input X is: a) XA = 60 and XB = 40. b) XA = 50 and XB = 50. c) XA = 0 and XB = 100. d) XA = 100 and XB = 0. %3D |3D
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Pick the correct answer and explain in steps
![A factory produces product A according to the production function QA = 100XA, where XA
denotes the amount of input and Qa is the quantity produced. It also produces product B
according to the production function QB = 200XB - XB², where XB denotes the amount of
input and QB is the quantity produced. The total available amount of input X is 100 units.
The firm's profit-maximizing allocation of input X is:
а) ХА 3 60 and Хв %3D 40.
b) XẠ = 50 and XB = 50.
c) XA = 0 and XB = 100.
d) ХА 3D 100 and Xв 3D 0.
e) XA = 30 and XB = 70.
%3D
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F422a3402-f0e9-4c20-b89e-5230245172a8%2Fa0da4a44-a814-4d78-87de-a7c702d024c3%2Fgzmtia_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A factory produces product A according to the production function QA = 100XA, where XA
denotes the amount of input and Qa is the quantity produced. It also produces product B
according to the production function QB = 200XB - XB², where XB denotes the amount of
input and QB is the quantity produced. The total available amount of input X is 100 units.
The firm's profit-maximizing allocation of input X is:
а) ХА 3 60 and Хв %3D 40.
b) XẠ = 50 and XB = 50.
c) XA = 0 and XB = 100.
d) ХА 3D 100 and Xв 3D 0.
e) XA = 30 and XB = 70.
%3D
%3D
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