2. Ace Custom Flooring makes two different grades of commercial carpets for local businesses. In the coming production cycle, Ace needs to decide how many rolls of each grade should be produced in order to maximize the profit. Each roll of Grade X1 carpet uses 75 units of synthetic fiber, requires 37.5 hours of production time, and needs 30 units of foam backing. Each roll of Grade X2 carpet uses 60 units of synthetic fiber, requires 42 hours of production time, and needs 22.5 units of foam backing.

For the above LP problem, answer the following questions here. You must show all of your work on the scrap pages to receive full credit.

(a) What is the optimal solution? Write as an ordered pair. Use 1 decimal only if needed.

(b) What is the value of the objective function at the optimal solution? Use 2 decimal places.

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(c) Which constraints are binding? Use constraint numbers.

(d) What is the Slack/Surplus for the non-binding constraint(s). Interpret it; ie, 50 hours of finishing time, slack.