Let's say we are producing two products, pi and p2, by using two raw materials, r1 and r2. To make one unit of p1, we use 1 unit of r1, 2 units of r2 and to make one unit of p2, we use 3 units of r1, 2 units of r2. Value of one unit of rı is $1 and value of one unit of r2 is $3 and we have a total of 100 units of r1 and 200 units of r2. Let the selling price per one pi made be $10 and per one p2 made be $15. We want to maximize the profit.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Set up a utlitiy maximization problem given the following information. 

Let's say we are producing two products, pi and p2, by using two raw materials, ri and r2. To make
one unit of P1, we use 1 unit of r1,
of r2. Value of one unit of rı is $1 and value of one unit of r2 is $3 and we have a total of 100 units of r1
and 200 units of r2. Let the selling price per one pi made be $10 and per one p2 made be $15. We want
to maximize the profit.
2 units of r2 and to make one unit of p2, we use 3 units of r1, 2 units
Transcribed Image Text:Let's say we are producing two products, pi and p2, by using two raw materials, ri and r2. To make one unit of P1, we use 1 unit of r1, of r2. Value of one unit of rı is $1 and value of one unit of r2 is $3 and we have a total of 100 units of r1 and 200 units of r2. Let the selling price per one pi made be $10 and per one p2 made be $15. We want to maximize the profit. 2 units of r2 and to make one unit of p2, we use 3 units of r1, 2 units
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