Ceren C.

asked • 9d

linear programming question

A furniture manufacturer employs 6 skilled and 11 semiskilled workers and produces two products: study table and computer table. A study table requires 2 h of a skilled worker and 2 h of an unskilled worker. A computer table requires 2 h of a skilled worker and 5 h of an unskilled worker. As per the industrial laws, no one is allowed to work for more than 38 h a week. The manufacturer can sell as many tables as he can produce. If the profit for a study table is $100 and for a computer table $160, how many study and computer tables should the manufacturer produce in a week in order to maximize the overall profit? Formulate a linear programming model.

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