In the Great Threads model, we didn’t constrain the production quantities in row 16 to be integers, arguing that any fractional values could be safely rounded to integers. See whether this is true. Constrain these quantities to be integers and then run Solver. Are the optimal integer values the same as the rounded fractional values in Figure 6.12?

Figure 6.12

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A B D E F. G H K 1 Great Threads fixed cost clothing model Range names used: Effective_capacity Rent equipment =Model!$B$18:$F$18 =Modell$B$14:$F$14 =Model!$B$29 =Model!$D$22:ŞD$23 |=Model!$B$22:$B$23 =Modell$B$16:$F$16 2 3 Input data on products Shirts Profit Resource available Resource_used Units produced 4 Shorts Pants Skirts Jackets 5 Labor hours/unit 6 Cloth (sq. yd.)/unit 2 8 3 2.5 4. 4.5 5.5 7 8 Selling price/unit 9 Variable cost/unit 10 Fixed cost for equipment $35 $20 $1,500 $40 $10 $65 $25 $70 $30 $110 $35 $1,200 $1,600 $1,500 $1,600 11 12 Production plan, constraints on capacity 13 Shirts Shorts Pants Skirts Jackets 14 Rent equipment 15 16 Units produced 965.52 379.31 17 <= く= <= <= <= 18 Effective capacity 0.00 1800.00 0.00 0.00 500.00 19 20 Constraints on resources 21 Resource used Available 22 Labor hours 4000.00 4000 くニ 23 Cloth 4500.00 く= 4500 24 25 Monetary outputs 26 Revenue 27 Variable cost 28 Fixed cost for equipment 29 Profit $80,345 $22,931 $2,800 $54,614 Objective to maximize