Process Utilization A jean manufacturer makes three types of jeans, each of which goes
Chapter 5, Problem 29(choose chapter or problem)
Process Utilization A jean manufacturer makes three types of jeans, each of which goes through three manufacturing phases cutting, sewing, and finishing. The number of minutes each type of product requires in each of the three phases is given below: Jean Cutting Sewing Finishing I 8 12 4 II 12 18 8 III 18 24 12 There are 5200 minutes of cutting time, 6000 minutes of sewing time, and 2200 minutes of finishing time each day. The company can sell all the jeans it makes and makes a profit of $4 on each Jean I, $4.50 on each Jean II, and $6 on each Jean III. What number of jeans in each category should be made each day to maximize profits? (a) Formulate a linear programming problem that models the problem given above. Be sure to identify all variables used. (b) Solve the linear programming problem. (c) Analyze the solution.
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