Question (3): Referred to what you have learned about models, answer the following problem (10 marks) The outdoor furniture company manufactures two products, benches and picnic tables. The firm has two main resources: carpenters (labor force) and Redwood for use in furniture. During the next production cycle, 1200 hours of labor are available and the firm also has a stock of 3500 board feet of Redwood. Each bench the company produces requires 4 labor hours and 10 board feet of Redwood. Each picnic table the company produces requires 6 2 labor hours and 20 board feet of Redwood. Completed benches will yield a profit of $9 each and tables will result in a profit of $ 20 each. Answer the following questions: a- Formulate the previous problem as a linear programming. (3 marks) b- Solve this linear program graphically. (drawing by Word) (2 marks) C- Determine the optimal quantities of X, Y, and the value of Z. (3 marks) d- What is the slack for constraint (1)? And explain the term slack.(2 marks)