Linear Programming - Shadow Prices The Sewell Manufacturing Company produces two types of reclining chairs for sale. Two basic types of skilled labor are involved: assembly and finishing. One unit of the top-of-the-line recliner requires hours of assembly, 1 hour of finishing, and sells for a profit of $275. A unit of the second-line recliner requires hour of assembly, i hour of finishing and sells for a profit of $136. Presently, there are 1000 assembly hours and 800 finishing hours available to the company. The demand for the second-line recliner is three times as high as for the top-of-the-line recliner so the factory has to produce at least three times as many second-line recliners as top-of-the-line recliners. The goal is to find the profit and pair (21,2%) which maximizes the profit while also satisfy- ing the requirements on the number of hours of labor and the numbers of types of recliner manufactured. The primal and dual linear programs are: Max. 275.21 + 136.22 St. assembly: 3.01 + 1.62 0. Min. 2000yi + 160042 + 0y3 S.t. t-o-t-l: 3y1 + 2y2 + 3y3 > 275 second: lyi + ly2 lyg > 136 41, 42, 43 > 0. Explain what each of the optimal dual values yi, yi and y represent for the primal problem. Be sure to include the units of y1, y and yg in your explanation