Suppose we are building three types of houses: studio (S), medium (M) and large (L). Assume that, we have three types of resource constraints. Those constraints are based on labor hours, painting hours, and decoration hours. Considering the house type based profits and resources requirements with resource availabilities, you are given the linear programming model below. Besides, you are given the Excel answer and sensitivity reports. Answer the following questions by analyzing the reports MAX Z= 30S+70M+116L s.t. 2S+2.5M+3.5LS60 Labor hours 2.5S+1.5M+4Ls50 Painting hours 2S+1M+4LS40 Decoration hours S,M,L 0 Answer Report: Objective Cell (Max) Cell Name Original Value Final Value $B$10 Pofit objective: 0.00 1790.77 Variable Cells Cell Name Original Value Final Value Integer $B$7 Studio: $B$8 Medium: SB$9 Large: 0.00 0.00 Contin 0.00 15.38 Contin 0.00 6.15 Contin Constraints Cell Name Cell Value Formula Status Slack 60.00 SH$11