Important: show all your work, including any equations you use, for full credit. 1. Transportation costs per ton of product vary with distance. For trucks the function is: TC =2+1.5d For rail it is: IC =4+d For barge it is: IC =6+.75d where d is the distance in hundreds of miles and TC is dollars per ton. Make a table showing the least cost mode of transport for distances of d = 1, 2, ...,10. Graph the problem and label the modal break points clearly. (Insert your table and graph. Note: if you google "graph paper" you can find printable pis that you can either include a whole sheet of or paste a section into a word document.) 2. Farmers growing peas ship them to the processing plant of their cooperative. The price paid for peas by the coop is $30 per ton minus the cost of haulage. The coop charges hauling fees of: IC =1+d where d is the distance from the farm to the plant in miles and TC is the cost of haulage per ton. Make a table showing the net price the farmers receive for d = 1, 2, ...,10 miles of distance from the plant. (insert your table) 3. These same farmers buy fertilizer from the coop at $10/ton. The fertilizer store is at the same location as the processing plant for the peas. They pay for haulage from that location at a cost of: TC, =2+d where d is the distance in miles from the fertilizer store to the farm and TC is the cost per ton. The net cost of fertilizer is $10 plus hauling expenses. Make a table showing the net price that farmers pay at d= 1, 2, ..,10 miles of distance from the plant. (insert your table) 4. Suppose that a farmer uses 1 ton of fertilizer to produce 3 tons of peas. Prepare a table to show the net revenue that farmers would receive from selling 3 tons of peas to the coop and buying 1 ton of fertilizer from the coop for locations at a distance of d = 1, 2, ..., 10 miles from the location of the cooperative. (insert your table)5. Transportation costs for moving edamame from the field to the flashfreezing facility vary depending on the mode of transportation used. The following functions tell us those costs: d. MITon = $6 + 4.5d :[where d = distance transported] TCE- {Ton = 54+ 4d hymn = $4 + 0.5d The distance between the eld and one flash freezing plant is 250 miles. we'll assume that it is equally easy to load truck, rail, and barge from the eld. Calculate the cost of transportation using each method. Em= 5 Tcn- =5 chm = 5 Three main problem to consider with ed amame: it is highly perishable before it is ash frozen; each transportation mode can carry different volumes [V] of edamame: and each ILBLEIE at different speeds. Calculate the amount of edamame carried by each method when... m=10Tons= 10Tons =\"LmleDDll-l Em= 3-25lyawsd=_=.w_[_ll=l Elam: 11-5[EMJ= fumesW IRE} Due to rate of travel, you can calculate perishability losses for one trip using each mode as follows: Truck Loss = 0.02 {W = Tons [ Lbs} Rail Loss : 0.05 {W 2 Tons 1 psi Barge Loss = 0.09 W = Tons i 32,5) If the processor (ash freezerj is paying SLTTfPou rId for delivered edamame, how much do those Hshability losses cost you and what is your net prot for each delivery method? Load value [5} Load Loss {5} Net Prot [S] Barge [be careful of unit: of measurement] J
