Considering the problem and mathematical model, what would be the optimal value of X_2, if the profit per one unit X₂ becomes 6?

A restaurant makes Coffee Cakes and Danish Pastries. These products main ingredients are flour and sugar. There are 25 kg. of flour and 16 kg. of sugar available per day, and the demand for coffee cake is 5 per day. 5 kgs of flour and 2 kgs of sugar are required to make a pan of Coffee Cakes, and 5 kgs of flour and 4 kgs of sugar are required to make a pan of Danish Pastry. A pan of Coffee Cakes has a profit of $1, and a pan of Danish Pastry has a profit of $5. In order to maximize profit, the model is given below:

Max Z = 1X₁ + 5X₂

subject to:

5X₁ + 5X₂ 25

2X₁ + 4X₂ 16

X₁ 5

X₁ , X₂ 0