1. Artificial Stonework's Ltd. manufactures two types of imitation stone used in commercial landscaping applications. One type is called "Harvest" and the other is called "Mountain." The stone is made from limestone, clay and shale. Harvest uses one part limestone, one part clay and two parts shale. Mountain uses four parts limestone, one part clay and one part shale. The company has the following in inventory: 8 tonnes of limestone, 3.5 tonnes of cla and 6 tonnes of shale. The Harvest product sells for $200 per tonne and the Mountain prod for $250 per tonne. a) Graph the feasibility region of the problem. (2 marks) b) Solve the linear programming problem and determine the maximum revenue and how many each rim must be produced to achieve it. (4 marks) c) Use Excel Solver to verify your answer to part b) and determine and interpret the objective coefficients and the shadow prices. (4 marks) 1. Artificial Stonework's Ltd. manufactures two types of imitation stone used in commercial landscaping applications. One type is called "Harvest" and the other is called "Mountain." The stone is made from limestone, clay and shale. Harvest uses one part limestone, one part clay and two parts shale. Mountain uses four parts limestone, one part clay and one part shale. The company has the following in inventory: 8 tonnes of limestone, 3.5 tonnes of cla and 6 tonnes of shale. The Harvest product sells for $200 per tonne and the Mountain prod for $250 per tonne. a) Graph the feasibility region of the problem. (2 marks) b) Solve the linear programming problem and determine the maximum revenue and how many each rim must be produced to achieve it. (4 marks) c) Use Excel Solver to verify your answer to part b) and determine and interpret the objective coefficients and the shadow prices. (4 marks)