Part $2-$ Using Solver for Linear Programming

For these cases be sure to provide your solver solutions showing the parametrs of solver.

Case $3.$ Dalton Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Dalton needs to decide how many rolls of each grade should be produced in order to maximize profit. Each roll of Grade I carpet uses $50$ units of synthetic fiber, requires $25$ hours of production time, and needs $20$ units of foam backing. Each roll of Grade II carpet uses $40$ units of synthetic fiber, requires $28$ hours of production time, and needs $15$ units of foam backing. Each roll of Grade I carpet sells for $$1,200$ and costs $$1,000,$ and each roll of grade II carpet sells for $$910$ and costs $$750$ to produce. In the coming production period, Dalton has $3000$ units of synthetic fiber available for use. Workers have been scheduled to provide at least $1600$ hours of production time. The company has $1000$ units of foam backing available for use.

Let your decision variables be:

$x1=$ Number of rolls of Grade I carpet to make

X$2=$ Number of rolls of Grade II carpet to make