Final answer:
The Scottsville Textile Mill can produce 26,496 yards of each fabric, meeting the monthly demand. The monthly profit would be $17,424.
Step-by-step explanation:
The subject of this question is Business. The question is asking about the production of different fabrics in the Scottsville Textile Mill. The mill operates with dobby looms that can produce 4.6 yards of fabric per hour. The monthly demand for Fabric 1 is 16,000 yards and for Fabric 2 is 12,000 yards. Profits are calculated at 33¢ per yard for each fabric produced on the looms.
To calculate the number of yards of each fabric that can be produced in a month, we can multiply the production rate per loom per hour by the number of looms, hours in a day, and days in the month.
For Fabric 1: 4.6 yards/hour x 8 looms x 24 hours/day x 30 days = 26,496 yards
For Fabric 2: 4.6 yards/hour x 8 looms x 24 hours/day x 30 days = 26,496 yards
Since the monthly demand for Fabric 1 is 16,000 yards and for Fabric 2 is 12,000 yards, the mill will be able to meet both demands with the production of 26,496 yards of each fabric.
The monthly profit can be calculated by multiplying the number of yards produced for each fabric by the profit per yard and adding the results:
Profit = (26,496 yards x 33¢/yard) + (26,496 yards x 33¢/yard) = $17,424