A firm produces two types of sugar, A and B at a constant average cost of RM 2 and RM 3 per kilogram, respectively. The quantities, qa and qB ( in kilograms) of A and B that can be sold each week are given by the joint-demand functions 9A = 400(PB – PA) and qB = 400(9 + PA – 2P3) Pa and Pg are the selling prices in dollars per kilogram of A and B respectivelv.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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A firm produces two types of sugar, A and B at a constant average cost
of RM 2 and RM 3 per kilogram, respectively. The quantities, q4 and qB
( in kilograms) of A and B that can be sold each week are given by the
joint-demand functions
9A = 400(PB – PA) and qB = 400(9 + PA – 2P3)
%3D
%3D
Pa and Pg are the selling prices in dollars per kilogram of A and B
respectivelv.
c) Determine the prices of A and B at which the firm can maxımize
profit.
Transcribed Image Text:A firm produces two types of sugar, A and B at a constant average cost of RM 2 and RM 3 per kilogram, respectively. The quantities, q4 and qB ( in kilograms) of A and B that can be sold each week are given by the joint-demand functions 9A = 400(PB – PA) and qB = 400(9 + PA – 2P3) %3D %3D Pa and Pg are the selling prices in dollars per kilogram of A and B respectivelv. c) Determine the prices of A and B at which the firm can maxımize profit.
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