The Exeter Company produces two basic types of dog toys. Two resources are crucial to the output of the toys: assembling hours and packaging hours. Further, only a limited quantity of type 1 toy can be sold. The linear programming model given below was formulated to represent next week's situation.

Let, X₁ = Amount of type A dog toy to be produced next week

X₂ = Amount of type B dog toy to be produced next week

Maximize total contribution Z = 35 X₁ + 40 X₂

Subject to

Assembling hours:       4 X₁ + 6 X₂ £ 48

Packaging hours:         2 X₁ + 2 X₂ £ 18

Sales Potential:           X₁ < 6

Non-negativity:           X₁ ³ 0, X₂ ³ 0

Use Excel Solver to find the optimal solution of the problem. Please paste your output here.

Note 1: Place X₁ along the horizontal axis and X₂ along the vertical axi.

Note 2: Clearly mark the feasible region on the graph.

Note 3: Find the points of intersection points algebraically.

Note 4: Clearly show all steps to find the optimal solution by the graphical method.