DSCI 5210 Model based business intelligence question

\fIf the available assemblyr hours are cut clown by 200, what would happen to the optimal solution and the optimal prot? 0 Optimal solution would remain the same but optimal prot would decrease. 0 Both optimal solution and optimal prot would remain the same. 0 Optimal solution would change and optimal prot would increase. 0 Optimal solution would change and optimal prot would decrease. 0 Optimal solution would change but optimal prot would remain the same. The Furniture City {FC} company makes 3 kinds of couches: {1} Standard. (2} Deluxe, and (3] Luxury styles. Each couch goes through 3 production departments: (1) Cutting and Coloring, {2} Assembly, and (3) Finishing. The total number of hours available each month in each of the above departments is 750, 1500 and 600, respectively. The time (in hours} required by 3 departments for making each couch and the prot per couch are listed below. The company has a contract of supplying at least a total of 250 Deluxe and Luxury couches per month. ICouch Cutting and Assemblylhrs} Finishing(hrs) Prot ($) Coloring (h rs} Stan da rd 1.0 1.8 0.6 150 Deluxe 1.2 2.4 1.0 220 Luxury 1.5 2.7 1.4 31-0 The company would like to make a production plan to maximize its total prot. Dene S, D, L as the variables for the numbers of Standard, Deluxe and Luxury couches produced by the company. Then the corresponding LP model is built as follows: Max 150 8+ 220 D + 310 L Subject to: 1 S + 1.2 D + 1.5 L 5 750 {Cutting and Coloring) 1.8 S + 2.4 D + 2.7 L g 1500 (Assembly) 0.6 5 + 1.0 D + 1.4 L 5 600 {Finishing} D+ L 3 250 (contract supply} \fWhat is the optimal prot [value of the objective function) for Furniture City? 0 $143.00!) 0 None of the others 0 $45,000 0 $128.000 0 3593.000