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. 2. Consider Problem 1 in Exercises. Suppose that the demands of the study and computer tables are at least 40 and 45, respectively, and the manufacturer pays $900 and $600 per week for each skilled and unskilled worker, respectively. If the manufacturer intends to fulfill the demand in full, what objective function would you suggest to the manufacturer’s production planning problem? Justify your suggestion and formulate the problem as a linear programming model.
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