(Solved):   The Scottsville Textile Mill produces several different fabrics on eight dobby looms that ...

 

The Scottsville Textile Mill produces several different fabrics on eight dobby looms that operate 24 hours per day and are scheduled for 30 days in the coming month. The mill will produce only Fabric 1 and Fabric 2 during the coming month. Each dobby loom can turn out \( 4.69 \) yards of either fabric per hour. Assume that there is a monthly demand of 16,000 yards of Fabric 1 and 12,000 yards of Fabric 2. Profits are calculated as \( 33 \mathrm{e} \) per yard for each fabric produced on the dobby looms. (a) Will it be possible to satisfy total demand? Yes, the mill can produce enough to meet the demand. No, the mill can not produce enough to meet the demand. (b) In the event that total demand is not satisfied, the Scottsville Textile Mill will need to purchase the fabrics from another mill to make up the shortfall. Its profits on resold fabrics ordered from another mill amount to \( 20 \mathrm{c} \) per yard for Fabric 1 and \( 16 \mathrm{c} \) per yard for Fabric 2 . How many yards of each fabric should it produce to maximize profits? (Round your answers to one decimal place. If total demand is satisfied, enter NONE.) Fabric 1 Fabric 2 yd yd