Tucker Inc. produces high-quality suits, blazers, and sport coats for men. Each suit requires 1.2 hours of cutting time and 0.7 hours of sewing time, uses 6 yards of material, and provides a profit contribution of $190. Each blazer requires 1 hour of cutting time and 0.65 hours of sewing time, uses 5 yards of material, and provides a profit contribution of $170. Each sport coat requires 0.8 hours of cutting time and 0.6 hours of sewing time, uses 4 yards of material, and provides a profit contribution of $150. For the coming week, 300 hours of cutting time, 180 hours of sewing time, and 1200 yards of fabric material are available. In addition, suits should account for at least 40% of the total production. Develop a linear programming model to decide how many suits, blazers, and sport coats have to be produced to maximize the total profit.

a. Define the decision variables.

b. Write down the objective function

c. Write down the constraints (mathematical expressions representing the constraints).

Tucker inc, produces high-quality suits, blazers, and sport coats for men. Each suit requires 1.2 hours of cutting time and 0.7 hours of sewing time, uses 6 yards of material, and provides a profit contribution of $190. Each blazer requires 1 hour of cutting time and 0.65 hours of sewing time, uses 5 yards of material, and provides a profit contribution of $170. Each sport coat requires 0.8 hours of cutting time and 0.6 hours of sewing time, uses 4 yards of material, and provides a profit contribution of $150. For the coming week, 300 hours of cutting time, 180 hours of sewing time, and 1200 yards of fabric material are available. In addition, suits should account for at least 40% of the total production. Develop a linear programming model to decide how many suits, blazers, and sport coats have to be produced to maximize the total profit. Question 8 Define the decision variables. Write down the objective function. Edit Write down the constraints (mathematical expressions representing the constraints). Edit Table