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 isthe number of sling chairs produced, A is the number of Adirondack chairs produced, and H is the number of hammocksproduced. Implement the linear optimization model and find an optimal solution, ensuring that the number of units produced isinteger-valued. How much difference is there between the optimal integer solution objective function and the linear optimizationsolution objective function? Would rounding the continuous solution have provided the optimal integer solution?Maximize Profit = 35 S + 95 A + 90 H0.5 S + 2 A+ 0.6 H ≤ 500.85 S + 2 A + 3 H ≤ 50S + A+H≤ 502.35 S + 5 A + 4.6 H≤ 120S, A, H≥0The optimal integer solution is to producetheprofit, which is $(Type whole numbers.)(Hours cutting ≤ 50)(Hours assembly ≤ 50)(Hours finishing ≤ 50)(Total hours/month ≤ 120)(Nonnegativity)sling chair(s),Adirondack chair(s), andhammock(s). This solution gives

We formulate the given programming problem in Excel as shown below: The above formulation in the…

Answered: Bangs Leisure Chairs produces three…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 80P

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