SGA is a small family owned furniture making business. Based on previous weeks’ sales activity, the management decides to direct all its resources to the manufacture of two of its fast selling products for the next week; its glazed mahogany chairs and its oval shaped oat tables. The number of tables produced must be no more than twice the number of chairs produced. Each item of furniture must spend some time in the assembling department, with each chair taking one hour to assemble and each table taking 3 hours. Only 30 hours of assembling time is available for the week. The items must then spend time in the furnishing department with each chair requiring
SGA is a small family owned furniture making business. Based on previous weeks’ sales activity,
the management decides to direct all its resources to the manufacture of two of its fast selling
products for the next week; its glazed mahogany chairs and its oval shaped oat tables.
The number of tables produced must be no more than twice the number of chairs produced. Each
item of furniture must spend some time in the assembling department, with each chair taking one
hour to assemble and each table taking 3 hours. Only 30 hours of assembling time is available for
the week. The items must then spend time in the furnishing department with each chair requiring
2 hours of furnishing time and each table requiring 2 hours of furnishing time. The company makes
$200 profit on each chair sold and $500 profit on each table sold.
Graphically determine the number of chairs and tables that the company must produce to maximize
profit for the next week
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