Consider the following LP problem:

a) Solve the above LP problem using the appropriate algorithms.

b) Exhibit the complete optimal primal and dual solutions as well as the optimal primal and dual bases.

c) Using the information in the optimal tableau, compute the opportunity cost of commodity 1 evaluated at market prices and at factor costs.

d) Explain the value of the shadow price for input 2.

max Z = 1 +32 +223 + 12 24 sub ect to x1 +212 + 3x3 = 15 21+2+5x3 = 20 1+212 +33 +10 x; 0, j=1,...,4.