Par, Inc., produces a standard golf bag and a deluxe golf
bag on a weekly basis. Each golf bag requires time for cutting and dyeing and time for sewing and finishing, as shown in the following table:
Hours Required per Bag
Product
Cutting and Dyeing
Sewing and Finishing
Standard Bag
1/22
11
Deluxe Bag
11
2/33
The profits per bag and weekly hours available for cutting and dyeing and for sewing and finishing are asfollows:
Product
Profit per Unit ($)
Standard Bag
$ 15$15
Deluxe Bag
$ 8$8
Activity
Weekly Hours Available
Cutting and Dyeing
330330
Sewing and Finishing
480480
Par Inc., will sell whatever quantities it produces of these two products.
The aim of the objective function for Par Inc., should be to
?
Maximize
Minimize
the objective value.
Decision variables:
S = number of standard bags produced / week
D = number of deluxe bags produced / week
Objective function:
?
Maximize
Minimize
Zequals=
nothingSplus+nothingD
Subject to:
(1/22)Splus+11D
?
greater than or equals?
less than or equals?
330330
(Upper C 1C1)
11Splus+(2/33)D
?
less than or equals?
greater than or equals?
480480
(Upper C 2C2)
S, D
greater than or equals?0
On the graph on right, constraints
C1
and
C2
have been plotted.??Using the point drawing
tool,
plot all the corner points for the feasible area.
a) The optimum solution is:
S =
nothing
(enter your response as a whole number).D =
nothing
(enter your response as a whole number).b) Optimal solution value ‘Z’ =
nothing
(enter your response as a whole number).
interactive graph

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