Consider the following LP problem representing the behavior of a price taker: There are four commodity outputs and three commodity inputs.

a) EXPLAIN HOW you plan to complete the tableau BEFORE DOING AN COMPUTATION. COMPLETE THE TABLEAU.

b) What is the optimal primal technology? EXPLAIN.

c) Exhibit the optimal production plan, the optimal dual solution and the optimal level of total revenue.

d) Compute a second extreme-point dual optimal solution.

e) Using weights w1 = 2 5 and w2 = 3 5 , compute a non-extreme-point dual optimal solution.

f) Verify that the non-extreme-point optimal solution computed in

e) corresponds to the optimal value of the dual ob ective function found in the two optimal tableaux. Explain this result.

maximize TR 51 +62 +33 +154 = sub ect to 51 +32 21 + 12 +423 + 410 +3x3 +4412 82 21 +212 +223 + 24 < all r; 0 and its corresponding incomplete optimal tableau: TR 21 22 23 24 Isl s2 s3 P sol BI 0 0 0 1 1 D sol Ysl Ys2 Ys3 s4 Y1 Y2 Ys