Use the given information to write canstraints and a profit function. You do not need to graph the constraints, find cormer points, or solve the problem. A furniture manufacturer makes couches, tables, and chairs. Each couch requires 6 hours to fabricate, 10 hours to assemble and 8 hours to finish and returns a profit of s10. Each table takes 5 hours to fabricate, 6 hours to assemble,and 4 to rinish and returns a profit of $12. Each chair requires 3 hours to fabricate, 1 hour to assemble and an hour to finish and returns a profit of $6. The manufacturer has 140 staff-hours each day available for fabrication, 300 staff-hours for assembling, and 500 hours for finishing. The goal is to maximize prafit Use the following variables. X = cauches y- tahles 7-e chais P- profie (Nate: In giving constraints belov, to enter a z symbol type . To enter a s symbol, type . So a typical constraint might laok something like this: 4x + 3y + 22 <= 25. In all expressions give the x term first, y term second, and z term third.) Give the fabrication time constraint. Give the assembling time constraint. Give the finishing time constraint. Give the profit function P. Enter your answer in the form ?x + ?y + 72, where ? will be numerical values. (Do not include '$' in your answer.) P =|
Use the given information to write canstraints and a profit function. You do not need to graph the constraints, find cormer points, or solve the problem. A furniture manufacturer makes couches, tables, and chairs. Each couch requires 6 hours to fabricate, 10 hours to assemble and 8 hours to finish and returns a profit of s10. Each table takes 5 hours to fabricate, 6 hours to assemble,and 4 to rinish and returns a profit of $12. Each chair requires 3 hours to fabricate, 1 hour to assemble and an hour to finish and returns a profit of $6. The manufacturer has 140 staff-hours each day available for fabrication, 300 staff-hours for assembling, and 500 hours for finishing. The goal is to maximize prafit Use the following variables. X = cauches y- tahles 7-e chais P- profie (Nate: In giving constraints belov, to enter a z symbol type . To enter a s symbol, type . So a typical constraint might laok something like this: 4x + 3y + 22 <= 25. In all expressions give the x term first, y term second, and z term third.) Give the fabrication time constraint. Give the assembling time constraint. Give the finishing time constraint. Give the profit function P. Enter your answer in the form ?x + ?y + 72, where ? will be numerical values. (Do not include '$' in your answer.) P =|
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:Use the given information to write constraints and a profit runction. You do not need to graph the constraints, find corner points, or solve the problem.
A furniture manufacturer makes couches, tables, and chairs. Each couch requires 6 hours to fabricate, 10 hours to assemble and 8 hours to finish and returns a profit of s10. Each table takes 5 hours to fabricate, 6 hours to assemble,and 4 hours
to rinish and returns a profit of $12. Each chair requires 3 hours to fabricate, 1 hour to assemble and an hour to finish and returns a profit of $6. The manutacturer has 140 staff-hours each day available for fabrication, 300 staff-hours for
assembling, and 500 hours for finishing. The goal is to maximize profit.
Use the following variables.
x = # cauches
y = * tables
7 - + chairs
P - profit
(Nate: In giving constraints below, to enter a z symbol type >=. To enter a s symbol, type <=. So a typical constraint might laok something like this: 4x + 3y + 22 <= 25. In all expressions give the x term first, y term second, and z term third.)
Give the fabrication time constraint.
Give the assembling time constraint.
Give the finishing time constralnt.
Give the profit tunction P. Enter your answer in the form ?x + ?y + ?2, where ? will be numerical values. (Do not include $" in your answer.)
P =|
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