AMBK Company manufactures furniture such as sofas and tables. In their current inven- tory, a total of 48 planks of wood are left. Each sofa needs four planks of wood to be made while each table needs two planks of wood to be made. The company earns a profit of P hundred pesos where P(x, y) = 12xy for selling a units of sofas and y units of tables. With their current inventory of woods, how many sofas and tables are needed to be produced to maximize their profit? (Use the Lagrange method of optimization.)
AMBK Company manufactures furniture such as sofas and tables. In their current inven- tory, a total of 48 planks of wood are left. Each sofa needs four planks of wood to be made while each table needs two planks of wood to be made. The company earns a profit of P hundred pesos where P(x, y) = 12xy for selling a units of sofas and y units of tables. With their current inventory of woods, how many sofas and tables are needed to be produced to maximize their profit? (Use the Lagrange method of optimization.)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
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