Answer Happy

Bangs Leisure Chairs produces three types of hand-crafted outdoor chairs: sling chairs, Adirondack chairs, and hammocks. After reviewing the labor required for each type of chair, the following linear optimization model for profit was found, where S is the number of sling chairs produced, A is the number of Adirondack chairs produced, and H is the number of hammocks produced. Implement the linear optimization model and find an optimal solution, ensuring that the number of units produced is integer-valued. How much difference is there between the optimal integer solution objective function and the linear optimization solution objective function? Would rounding the continuous solution have provided the optimal integer solution? Maximize Profit=35 S+95 A +90 H 0.5 S+2 A+0.3 H≤60 0.85 S+2 A+3 Hs60 S+A+Hs60 2.35 S+5A+4.3 Hs 145 S, A, H20 (Hours cutting s60) (Hours assembly s60) (Hours finishing s60) (Total hours/months 145) (Nonnegativity) The optimal integer solution is to produce sling chair(s). Adirondack chair(s), and hammock(s). This solution gives the (Type whole numbers.) profit, which is $ the continuous solution The absolute value of the difference between the optimal integer solution objective function and the linear optimization solution objective function is $. Rounding have provided the optimal integer solution. (Type integers or decimals rounded to two decimal places as needed.)