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.
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.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Set up a utlitiy maximization problem given the following information.

Transcribed Image Text:Let's say we are producing two products, \( p_1 \) and \( p_2 \), by using two raw materials, \( r_1 \) and \( r_2 \). To make one unit of \( p_1 \), we use 1 unit of \( r_1 \), 2 units of \( r_2 \), and to make one unit of \( p_2 \), we use 3 units of \( r_1 \), 2 units of \( r_2 \). The value of one unit of \( r_1 \) is $1 and the value of one unit of \( r_2 \) is $3. We have a total of 100 units of \( r_1 \) and 200 units of \( r_2 \). Let the selling price per unit of \( p_1 \) be $10 and per unit of \( p_2 \) be $15. We want to maximize the profit.
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