The Whitt Window Company is a company with only three employees which
makes two different kinds of hand-crafted 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
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.
1) Determine the decision variables.
2) Determine the constraints.
3) Formulate a linear programming model.
4) Define:
a) Optimum solution
b) Optimum value
c) Slack variable
d) Range of Optimality
e) Range of Feasibility
f) Shadow Price
g) Binding Constraints
h) Non-binding constraints
i) Feasible Region
5) Transform the linear programming model in (3) to standard form.
6) Using graphical method analyse the phrases defined in (4)