4. Solve the following product mix problem using R. Before you solve this problem try to look at the problem and list which of the 6 decision variables you think might be in the final solution. The goal is to show how difficult it is to know the solution by just looking at the problem. After you write down the variables you think will enter the solution, solve this problem on the computer. (This problem is not written in the usual format.) Product X1 X2 X3 X4 Xs X6 Profit/Unit $30 $45 $24 $26 $24 $30 Product Resource Requirements Steel 4 0 2 800 Wood 4 5 3 1160 Plastic 3 8 1780 AAUOOO IA IA IA IA IA IA Rubber 2 2 1050 Glass 2 2 2 2 1360 Paint 4 4 1240