(Solution) - Leastan company manufactures a line of carpeting that includes a -(2025 Original AI-Free Solution)

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Leastan company manufactures a line of carpeting that includes a commercial carpet and a residential carpet. Two grades of fiber-heavy-duty and regular-are used in manufacturing both types of carpeting. The mix of the two grades differs in each type of carpeting, with the commercial grade using a greater amount of heavy-duty fiber.
Leastan will introduce a new line of carpeting in two months to replace the current line. The fiber presently in stock will not be used in the new line; therefore, management wants to exhaust the present stock during the last month of production.
Data regarding the current line of commercial and residential carpeting are as follows:

Leastan has 42,000 pounds of heavy-duty fiber and 24,000 pounds of regular fiber in stock. All fiber not used in the manufacture of the present types of carpeting during the last month of production can be sold as scrap at 25 cents a pound.
There is a maximum of 10,500 direct labor hours available during the month. The labor force can work on either type of carpeting.
Sufficient demand exists for the present line of carpeting so that all quantities produced can be sold.
Required:
(1) Compute the number of rolls of commercial carpet and residential carpet that Leastan must manufacture during the last month of production to exhaust completely the heavy-duty and regular fiber still in stock.