Target Shirt Company makes three varieties of shirts: Collegiate,Traditional and European.These shirts are made from different combinations of cotton and polyester.
The cost per yard of unblended cotton is $5 and for unblended polyester is $4.Target can receive up to 4,000 yards of raw cotton and 3,000 yards of raw polyester fabric weekly.The table below pertinent data concerning the manufacture of the shirts. $\begin{array}{c}
\begin{array}{c}
\
\underline{\text {Shirt}}\
\text {Coll egiate}\
\
\text {Traditional}\
\
\text {European}\
\
\end{array}
\begin{array}{c}
\text {Total}\
\text {Yards}\
1.00\
\
1.20\
\
.90\
\
\end{array}
\begin{array}{c}
\text {Fabric}\
\underline{\text{Requirement}}\
\text {At least}\
\text { 50 \% cotton}\
\text {No more than}\
\text { 20 \% polyester}\
\text {As much as}\
\text {80 \% polyester}
\end{array}
\begin{array}{c}
\text{Weekly}\
\underline{\text{Contracts}}\
500\
\
650\
\
280\
\
\end{array}
\begin{array}{c}
\text {Weekly}\
\underline{\text {Demand}}\
600\
\
850\
\
675\
\
\end{array}
\begin{array}{c}
\text {Selling}\
\underline{\text {Price}}\
\$14.00\
\
\$ 15.00 \
\
\$ 18.00 \
\
\end{array}
\end{array}$
Formulate and solve this blending problem as a linear program.

Question

Target Shirt Company makes three varieties of shirts: Collegiate,Traditional and European.These shirts are made from different combinations of cotton and polyester.
The cost per yard of unblended cotton is $5 and for unblended polyester is $4.Target can receive up to 4,000 yards of raw cotton and 3,000 yards of raw polyester fabric weekly.The table below pertinent data concerning the manufacture of the shirts. $\begin{array}{c}
\begin{array}{c}
\
\underline{\text {Shirt}}\
\text {Coll egiate}\
\
\text {Traditional}\
\
\text {European}\
\
\end{array}
\begin{array}{c}
\text {Total}\
\text {Yards}\
1.00\
\
1.20\
\
.90\
\
\end{array}
\begin{array}{c}
\text {Fabric}\
\underline{\text{Requirement}}\
\text {At least}\
\text { 50 \%  cotton}\
\text {No more than}\
\text { 20 \% polyester}\
\text {As much as}\
\text {80 \%  polyester}
\end{array}
\begin{array}{c}
\text{Weekly}\
\underline{\text{Contracts}}\
500\
\
650\
\
280\
\
\end{array}
\begin{array}{c}
\text {Weekly}\
\underline{\text {Demand}}\
600\
\
850\
\
675\
\
\end{array}
\begin{array}{c}
\text {Selling}\
\underline{\text {Price}}\
\$14.00\
\
 \$ 15.00 \
\
\$ 18.00 \
\
\end{array}
\end{array}$
 Formulate and solve this blending problem as a linear program.

Quizplus · Accepted Answer

The Answer of Target Shirt Company makes three varieties of shirts: Collegiate,Traditional and European.These shirts are made from different combinations of cotton and polyester.
The cost per yard of unblended cotton is $5 and for unblended polyester is $4.Target can receive up to 4,000 yards of raw cotton and 3,000 yards of raw polyester fabric weekly.The table below pertinent data concerning the manufacture of the shirts. $\begin{array}{c}
\begin{array}{c}
\
\underline{\text {Shirt}}\
\text {Coll egiate}\
\
\text {Traditional}\
\
\text {European}\
\
\end{array}
\begin{array}{c}
\text {Total}\
\text {Yards}\
1.00\
\
1.20\
\
.90\
\
\end{array}
\begin{array}{c}
\text {Fabric}\
\underline{\text{Requirement}}\
\text {At least}\
\text { 50 \%  cotton}\
\text {No more than}\
\text { 20 \% polyester}\
\text {As much as}\
\text {80 \%  polyester}
\end{array}
\begin{array}{c}
\text{Weekly}\
\underline{\text{Contracts}}\
500\
\
650\
\
280\
\
\end{array}
\begin{array}{c}
\text {Weekly}\
\underline{\text {Demand}}\
600\
\
850\
\
675\
\
\end{array}
\begin{array}{c}
\text {Selling}\
\underline{\text {Price}}\
\$14.00\
\
 \$ 15.00 \
\
\$ 18.00 \
\
\end{array}
\end{array}$
 Formulate and solve this blending problem as a linear program.

Target Shirt Company Makes Three Varieties of Shirts: Collegiate,Traditional and European.These