Problem $1.$

Bibbins Manufacturing produces softballs and baseballs for youth recreation leagues. Each softball costs $$11$ to produce and sells for $$17$ while each baseball costs $$10\mathrm{.}50$ and sells for $$15.$ The material and labor required to produce each item is listed here along with the availability of each resource.

Amount Required Per

Amount

Resource

Softball

Baseball

Available

Leather

$5oz$

$4oz$

$6,000oz$

Nylon

$6$ yds

$3$ yds

$5,400$ yds

Core

$4oz$

$2oz$

$4,000oz$

Labor

$2\mathrm{.}5$min

$2$min

$3,500$min

Stitching

$1$min

$1$ min

$1,500$min