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A farm owns trucks of four types, their parameters are shown in the table below.
A farm owns trucks of four types, their parameters are shown in the table below.Type of truck Quantity Daily cost of running CapacityT1 2 £20 400 kgT2 3 £40 700 kgT3 2 £80 1000 kgT4 1 £100 1500 kgOn a particular day, the farm needs to deliver 2000 kg of grain to a mill. It takes one day fora truck to go to a mill and return back, i.e., each truck can be used only once a day. Thefarm’s management is not going to spend more than £120 on that delivery.Formulate the problem of maximising total weight of delivered grain, provided that thebudget of £120 is respected as a problem of integer linear programming. Giveexplanations regarding the decision variables. Solve the problem by hand by a dynamicprogramming algorithm.Use the graphical approach.
