Longfield Fnilt Products (LFP) owns orchards in the Florida state where il grows oranges. It then ships these oranges to lts three processing facilities in Alpha (A), Beata (B) and Cakra (C) where a variety of orange products are manufactured. Recently, as the economy has improved, LFP has experienced a growth in its product demand so it wants to purchase one or more orchards to produce more orange/citrus products. LFP is considering five new orchards with the following annual fixed costs and projected annual number of oranges reaped. LFP has the following additional available production capacity (tons) at the three processing facilities which it wants to utilize. The shipping costs per ton from the farms being considered for purchase to the plants are as follows: Required: Your task is to assist in the formulation of the problem as a linear programming model which will enable LFP in deciding which of the orchard/s it should purchase which will meet available production capacity at the minimum total cost including annual fixed costs and shipping costs Specifically. answer the following questions: (a) The problem requires two different kinds of decision variables. Clearly define each kind. (b) Write the objective function. Longfield Fnilt Products (LFP) owns orchards in the Florida state where il grows oranges. It then ships these oranges to lts three processing facilities in Alpha (A), Beata (B) and Cakra (C) where a variety of orange products are manufactured. Recently, as the economy has improved, LFP has experienced a growth in its product demand so it wants to purchase one or more orchards to produce more orange/citrus products. LFP is considering five new orchards with the following annual fixed costs and projected annual number of oranges reaped. LFP has the following additional available production capacity (tons) at the three processing facilities which it wants to utilize. The shipping costs per ton from the farms being considered for purchase to the plants are as follows: Required: Your task is to assist in the formulation of the problem as a linear programming model which will enable LFP in deciding which of the orchard/s it should purchase which will meet available production capacity at the minimum total cost including annual fixed costs and shipping costs Specifically. answer the following questions: (a) The problem requires two different kinds of decision variables. Clearly define each kind. (b) Write the objective function