$L021-1,L021-2,L021-3,$

$L021-4$

EXERCISE $21\mathrm{.}4$

Scarce Resources

Texteriles Company creates different types of bolts of cloth. These bolts of cloth are made on the

same machinery. The textile machines have the capacity of $3,600$ hours per month. Texteriles is

considering producing three different types of cloth: denim, chenille, and gauze, with contribution

margins per bolt of $$14,$$$22,$ and $$9,$ respectively. Texteriles knows it can sell only a total of $6,000$

bolts of denim, $2,000$ bolts of chenille, and$/$or $1,200$ bolts of gauze. A bolt of each type of cloth

requires a different amount of machine time as follows: denim takes $0\mathrm{.}5$ machine$-$hours, chenille

takes $1$ machine$-$hour, and gauze takes $0\mathrm{.}3$ machine$-$hours. What combination of products will

maximize the profits of Texteriles?