a) define the deision variables

b) define the objective functions

c) define the constraints

3. Bibbins Manufacturing produces softball and baseballs for youth recreation leagues. Each softball costs $11 to produce and sells for $17 while each baseball costs $10.50 and sells for $15. The material and labor required to produce each item is listed here along with the availability of each resource. \begin{tabular}{llcl} & \multicolumn{2}{c}{ Amount Required Per } & Amount \\ \hline Resource & Softball & Baseball & Available \\ \hline Leather & 5oz & 4oz & 6,000oz \\ Nylon & 6yds & 3yds & 5,400yds \\ Core & 4oz & 2oz & 4,000oz \\ Labor & 2.5min & 2min & 3,500min \\ Stitching & 1min & 1min & 1,500min \end{tabular}