the southern sporting goods company makes basketbsalls and footballs. each product is produced from two resources $-$ rubber and leather. eaach msketball produced results in a profit of $$13,$ and each footbsll earns $$18$ in profit. the linear programming model, with resource requirements given in trhe constraints, for this problem is given by Max Z $=13$x$1+18$x$2.$ how man y basketballs and footballs, respectivelt, should be produced at the optimal solution