Banana Brothers, manufactures two types of Y Blocks: The Alfa and the Beta. Denoting Alfa output as Q1 and Beta output as Q2, the company has estimated the following demand equation for its Blocks: Q= 10 - 0.2P1 - 0.4Q2 Q2 = 20 - 0.5P2 - 2Q1 The total cost equation for producing Alfa and Beta are TC, = 4 + 2Q,2 TC2 = 8 + 6Q,2 a) If Banana Brothers is a profit-maximizing firm, how much should it charge for Alfa and Beta? b) What is the profit maximizing level of output for Alfa and Beta? c) What is Banana Brother's profit? %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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Banana Brothers, manufactures two types of Y Blocks: The Alfa and the Beta. Denoting Alfa output as Q1
and Beta output as Q2, the company has estimated the following demand equation for its Blocks:
Q= 10 - 0.2P, - 0.4Q2
Q2 = 20 - 0.5P2 - 2Q1
The total cost equation for producing Alfa and Beta are
TC, = 4 + 20,?
TC2 = 8 + 6Q,?
a) If Banana Brothers is a profit-maximizing firm, how much should it charge for Alfa and Beta?
b) What is the profit maximizing level of output for Alfa and Beta?
c) What is Banana Brother's profit?
Transcribed Image Text:Banana Brothers, manufactures two types of Y Blocks: The Alfa and the Beta. Denoting Alfa output as Q1 and Beta output as Q2, the company has estimated the following demand equation for its Blocks: Q= 10 - 0.2P, - 0.4Q2 Q2 = 20 - 0.5P2 - 2Q1 The total cost equation for producing Alfa and Beta are TC, = 4 + 20,? TC2 = 8 + 6Q,? a) If Banana Brothers is a profit-maximizing firm, how much should it charge for Alfa and Beta? b) What is the profit maximizing level of output for Alfa and Beta? c) What is Banana Brother's profit?
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