Muir manufacturing produces two popular grades of commercial carpeting among its many other products. in the coming production period, muir needs to decide how many rolls of each grade should be produced in order to maximize profit. each roll of grade x carpet uses 50 units of synthetic fiber, requires 25 hours of production time, and needs 20 units of foam backing. each roll of grade y carpet uses 40 units of synthetic fiber, requires 28 hours of production time, and needs 15 units of foam backing. the profit per roll of grade x carpet is $200 and the profit per roll of grade y carpet is $160. in the coming production period, muir has 3000 units of synthetic fiber available for use. workers have been scheduled to provide 1800 hours of production time (overtime is a possibility). the company has 1500 units of foam backing available for use. develop and solve a linear programming model for this problem. report the number of rolls of grade x carpet (x*=? ) below.

answer; communities of interest; i believe this is correct, plz check first good luck;

two years ago, when picking flowers in the mountains back of yosemite valley, i found a book. it was blotted and storm-beaten; all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however; many of the inner pages were well preserved. and although all were more or less stained and torn, whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today; its granite pages have been torn and blurred by the same storms that wasted the castaway book.

two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.