An appliance manufacturer produces two models of televisions: colored tv and black & white tv. Both models require fabrications and assembly work; each colored tv uses four hours of fabrication and two hours of assembly, each black & white tv uses two hours of fabrication and six hours of assembly. There are 600 fabrication hours available per week and 480 hours of assembly. Each colored tv contributes P1200 to profits and each black & white tv contributes 900 to profits. How many colored tv and black & white tv must the manufacturer produce to maximize the profit. 1. Process Profit per unit OBJECTIVE FUNCTION: CONSTRAINTS: a. b. c. Non-negativity constraints= Coordinates Constraint a Let x=0 Constraint b. Let x=0 y = _ Lety-0 y=_ Let y = 0 X=> Determine the optimal solutions: Points Coordinates x= Hours per unit Sign Requirement Objective function equations Profits How many units of each brand must be produced to maximize profit? Determine the number of resources that will be used and the slack for each of the process. Constraints Used Available Slack
An appliance manufacturer produces two models of televisions: colored tv and black & white tv. Both models require fabrications and assembly work; each colored tv uses four hours of fabrication and two hours of assembly, each black & white tv uses two hours of fabrication and six hours of assembly. There are 600 fabrication hours available per week and 480 hours of assembly. Each colored tv contributes P1200 to profits and each black & white tv contributes 900 to profits. How many colored tv and black & white tv must the manufacturer produce to maximize the profit. 1. Process Profit per unit OBJECTIVE FUNCTION: CONSTRAINTS: a. b. c. Non-negativity constraints= Coordinates Constraint a Let x=0 Constraint b. Let x=0 y = _ Lety-0 y=_ Let y = 0 X=> Determine the optimal solutions: Points Coordinates x= Hours per unit Sign Requirement Objective function equations Profits How many units of each brand must be produced to maximize profit? Determine the number of resources that will be used and the slack for each of the process. Constraints Used Available Slack
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:An appliance manufacturer produces two models of televisions: colored tv and black & white tv. Both models require
fabrications and assembly work; each colored tv uses four hours of fabrication and two hours of assembly, each black
& white tv uses two hours of fabrication and six hours of assembly. There are 600 fabrication hours available per week
and 480 hours of assembly. Each colored tv contributes P1200 to profits and each black & white tv contributes 900 to
profits. How many colored tv and black & white tv must the manufacturer produce to maximize the profit.
1.
Process
Profit per unit
OBJECTIVE FUNCTION:
CONSTRAINTS:
a.
b.
c. Non-negativity constraints=
Coordinates
Constraint a
Let x = 0
Constraint b.
Let x=0
y=_
Lety-0
y = _
Let y=0
x=
Determine the optimal solutions:
Points
Coordinates
x=
Hours per unit
Sign
Requirement
Objective function equations
Profits
How many units of each brand must be produced to maximize profit?
Determine the number of resources that will be used and the slack for each of the process.
Constraints
Used
Available
Slack
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