The Whitt Window Company is a company with only three employees which makes two different kinds of hand-craft windows: a wood-framed and an aluminum-framed window. They earn $60 profit for each wood-framed window and $30 profit for each aluminum-framed window. Doug makes the wood frames and can make 6 per day. Linda makes the aluminum frames and can make 4 per day. Bob forms and cuts the glass, and can make 48 square feet of glass per day. Each wood-framed window uses 6 square feet of glass and each aluminum-framed window uses 8 square feet of glass. Demand for each kind of windows is unlimited. a) Formulate a linear programming (LP) model to maximize the Whitt Window Company's profit. Note: Clearly define your notation. b) Model the same problem in Excel and solve it using Excel Solver.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Lp model formulation 

The Whitt Window Company is a company with only three employees which makes two
different kinds of hand-craft windows: a wood-framed and an aluminum-framed window.
They earn $60 profit for each wood-framed window and $30 profit for each
aluminum-framed window. Doug makes the wood frames and can make 6 per day. Linda
makes the aluminum frames and can make 4 per day. Bob forms and cuts the glass, and
can make 48 square feet of glass per day. Each wood-framed window uses 6 square feet
of glass and each aluminum-framed window uses 8 square feet of glass. Demand for each
kind of windows is unlimited.
a) Formulate a linear programming (LP) model to maximize the Whitt Window
Company's profit.
Note: Clearly define your notation.
b) Model the same problem in Excel and solve it using Excel Solver.
Transcribed Image Text:The Whitt Window Company is a company with only three employees which makes two different kinds of hand-craft windows: a wood-framed and an aluminum-framed window. They earn $60 profit for each wood-framed window and $30 profit for each aluminum-framed window. Doug makes the wood frames and can make 6 per day. Linda makes the aluminum frames and can make 4 per day. Bob forms and cuts the glass, and can make 48 square feet of glass per day. Each wood-framed window uses 6 square feet of glass and each aluminum-framed window uses 8 square feet of glass. Demand for each kind of windows is unlimited. a) Formulate a linear programming (LP) model to maximize the Whitt Window Company's profit. Note: Clearly define your notation. b) Model the same problem in Excel and solve it using Excel Solver.
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