A company manufactures two products: X and Y, Product X costs $8 per unit and contains 2 units of raw material 1, 6 units of raw material 2 and 4 units of raw material 3. Product Y costs $10 per unit and contains 2 units of raw material 1, 2 units of raw material 2 and 12 units of raw material 3. The company has 80 units of raw material 1, 120 units of raw material 2 and 240 units of raw material 3 available. In addition, the product Y should be at least 15 units less than product X. How many units of each product should the company produce to minimize the cost of production? (i)Derive the system of equations (ii)Use the extreme point method to solve the system. Ensure that you explain each step in the comput
A company manufactures two products: X and Y, Product X costs $8 per unit and contains 2 units of raw material 1, 6 units of raw material 2 and 4 units of raw material 3. Product Y costs $10 per unit and contains 2 units of raw material 1, 2 units of raw material 2 and 12 units of raw material 3. The company has 80 units of raw material 1, 120 units of raw material 2 and 240 units of raw material 3 available. In addition, the product Y should be at least 15 units less than product X. How many units of each product should the company produce to minimize the cost of production? (i)Derive the system of equations (ii)Use the extreme point method to solve the system. Ensure that you explain each step in the comput
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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Question
A company manufactures two products: X and Y, Product X costs $8 per unit and contains 2
units of raw material 1, 6 units of raw material 2 and 4 units of raw material 3. Product Y
costs $10 per unit and contains 2 units of raw material 1, 2 units of raw material 2 and 12
units of raw material 3. The company has 80 units of raw material 1, 120 units of raw
material 2 and 240 units of raw material 3 available. In addition, the product Y should be at
least 15 units less than product X. How many units of each product should the company
produce to minimize the cost of production?
(i)Derive the system of equations
(ii)Use the extreme point method to solve the system. Ensure that you explain each
step in the comput
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