please help me with this problem thanks!!!
Required: Your task is to assist in the formulation of the problem as a linear programming model which will enable MP in deciding which at the five orchards it should purchase which will meet available production capacity;r at the minimum total cost including annual xed costs and shipping costs. Specifically, answer lhe foliowing questions: Note: Wherever you are required to write constrainlr's, write appropriately and HHS must have only constant, no variable on HHS. {#1} Clearly dene all decision variables. {#2} Gleam formulate the objective function. {Ara} Clearly specify all the constraints such that only constants appear on the right hand sides of constraints. [k4] Write constraintls to make sure that at least two but not more than four orchards are purchased. Atkinson Apple Products (AAP) owns orchards in the El Dorado region where it grows apples. It then ships these apples to its three processing facilities in Appleton (A), Broadway (B) and Columbus (C) where a variety of apple products are manufactured. Recently, as the economy has improved, AAP has experienced a growth in its product demand so it wants to purchase one or more orchards to produce more apple products.AAP is considering five new orchards with the following annual fixed costs and projected annual number of apples reaped Orchard Fixed Annual Costs ($) Projected Annual Apples (tons) 786,550 27,900 IN 924,800 32,750 3 821,650 33,050 4 910,050 24,780 5 681,950 35,745 AAP has the following additional available production capacity (tons) at the three processing facilities which it wants to utilize Processing Facility Additional Available Capacity (tons) Appleton (A) 38,600 Broadway (B) 26,960 Columbus (C) 36,530 The shipping costs per ton from the farms being considered for purchase to the plants are as follows: Processing Facility (shipping costs, $ per ton) Orchard Appleton (A) Broadway (B) Columbus (C) 32 37 25 29 26 38 21 26 33 39 32 35 36 41 24