1. The Onato Company produces chairs, lamps and tables. Each chair requires 6 minutes in machine center A, 5 minutes in machine center B and 8 minutes in machine center C. Each lamp produced requires 5, 4 and 5 minutes in machine centers A, B, and C respectively. Likewise, each table produced requires 6, 4 and 6 minutes in machine centers, A, B, and C respectively. The company has a daily availability of 2400 minutes in center A, 2000 minutes in center B and 3000 minutes in center C. Each chair gives Php50 profit, a lamp gives Php100 and a table gives Php200. Find the number of each type of products to produce in order to maximize the company's profit.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
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1. The Onato Company produces chairs, lamps and tables. Each
chair requires 6 minutes in machine center A, 5 minutes in machine
center B and 8 minutes in machine center C. Each lamp produced
requires 5, 4 and 5 minutes in machine centers A, B, and C
respectively. Likewise, each table produced requires 6, 4 and 6
minutes in machine centers, A, B, and C respectively. The
company has a daily availability of 2400 minutes in center A, 2000
minutes in center B and 3000 minutes in center C. Each chair gives
Php50 profit, a lamp gives Php100 and a table gives Php200. Find
the number of each type of products to produce in order to
maximize the company's profit.
Transcribed Image Text:1. The Onato Company produces chairs, lamps and tables. Each chair requires 6 minutes in machine center A, 5 minutes in machine center B and 8 minutes in machine center C. Each lamp produced requires 5, 4 and 5 minutes in machine centers A, B, and C respectively. Likewise, each table produced requires 6, 4 and 6 minutes in machine centers, A, B, and C respectively. The company has a daily availability of 2400 minutes in center A, 2000 minutes in center B and 3000 minutes in center C. Each chair gives Php50 profit, a lamp gives Php100 and a table gives Php200. Find the number of each type of products to produce in order to maximize the company's profit.
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