Tucker Inc. produces high-quality suits and sport coats for men. Each suit requires 1.2 hours of cutting time and 0.7 hours saving time, uses 6 yards of material and provides a profit contribution of $190.Each sport coat requires 0.8 hours of cutting time and 0.6 hours saving time, uses 4 yards of material and provides a profit contribution of $150.For the coming week,200 hours of cutting time,180 hours saving time, and 1200 yards of fabric are available. Additional cutting and saving time can be obtained by scheduling overtime for this operations. Each hour of overtime for the cutting operation increases the hourly cost $15 and each hour of overtime for the sewing operation increases the hourly cost by $10.A maximum of 100 hours of overtime can be scheduled. Marketing requirement specify a minimum production of 100 suits and 75 sport coats.