2. An artisanal weaver makes two kinds of cloth: wool and cotton. Wool cloth can be sold for a profit of $3 per yard, and cotton cloth for a profit of $1 per yard. The weaver wants to maximize his profit He can afford to spend up to 40 hours per week working and takes two hours to make 1 yard of wool cloth and one hour to make 1 yard of cotton cloth. Customer demand requires that he makes at least three times as much cotton cloth as wool cloth. There is space for at most 100 yards of wool cloth cach week. the problem as a maximizing lincar program. Set b. Give the initial tableau for the problem. Find the optimal solution using the simplex method. Show your work. a. up C.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.4: Fixed-cost Models
Problem 17P
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2. An artisanal weaver makes two kinds of cloth: wool and cotton. Wool cloth can be sold
for a profit of $3 per yard, and cotlon cloth for a profit of $1 per yard. The weaver wants
to maximize his profit He can afford to spend up to 40 hours per week working and takes
two hours to make 1 yard of wool cloth and one hour to make 1 yard of cotton cloth.
Customer demand requires that he makes at least three times as much cotton cloth as
wool cloth. There is space for at most 100 yards of wool cloth cach week.
Set up the problem as a maximizing lincar program.
a.
b. Give the initial tablcau for the problem.
Find the optimal solution using the simplex method. Show your work.
d. Based on the optimal solution you found, docs there appear to be any under-
utilized resources? (labor or storage)
C.
Transcribed Image Text:2. An artisanal weaver makes two kinds of cloth: wool and cotton. Wool cloth can be sold for a profit of $3 per yard, and cotlon cloth for a profit of $1 per yard. The weaver wants to maximize his profit He can afford to spend up to 40 hours per week working and takes two hours to make 1 yard of wool cloth and one hour to make 1 yard of cotton cloth. Customer demand requires that he makes at least three times as much cotton cloth as wool cloth. There is space for at most 100 yards of wool cloth cach week. Set up the problem as a maximizing lincar program. a. b. Give the initial tablcau for the problem. Find the optimal solution using the simplex method. Show your work. d. Based on the optimal solution you found, docs there appear to be any under- utilized resources? (labor or storage) C.
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