3. A manufacturing company makes motors used in robotic machinery and ships them to distributors around...

    

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3. A manufacturing company makes motors used in robotic machinery and ships them to distributors around the country. The manufacturing cost for a run of N motors consists of a fixed cost, CF, and a per unit cost, Cu. A motor, packaged and ready for shipment, weighs Wu. The total shipping cost from the manufacturing plant to the distributor in Chicago is S and the shipping cost per pound- force is Sw. The weight of a single packaged motor is Wu. The manufacturing cost for the run is given by: where: Cu = per unit cost [$/motor] N = number of units in the run [--] CF = fixed cost for the run [$] C(N) = CN+CF The shipping cost for the run is given by: where: Sw = cost per lb to ship W = total weight of the shipment [lbf] $ Where: The total weight of the shipment is given by: S(W) = SwW Wu = weight per motor (lbf/motor] W(N) = WN N = number of units in the run [--] a. Find the equation for the shipping cost as a function of manufacturing cost, S(C). Hint: find S(N) = S(W(N)), solve for N(S), find C(S) = C(N(S)), then S(C). b. For a manufacturing run, the fixed cost is $12,300, the per unit cost is $65/motor, the shipping cost per pound is $1.25/lby, and the weight of each motor is 43 lb,/motor. Plot S(C) on the graph below. Shipping Cost (S) [$] 50000 45000 40000 35000 30000 25000 20000 15000 10000 5000 5000 10000 15000 20000 25000 30000 35000 40000 Manufacturing Cost (C) [$] 45000 0000s 3. A manufacturing company makes motors used in robotic machinery and ships them to distributors around the country. The manufacturing cost for a run of N motors consists of a fixed cost, CF, and a per unit cost, Cu. A motor, packaged and ready for shipment, weighs Wu. The total shipping cost from the manufacturing plant to the distributor in Chicago is S and the shipping cost per pound- force is Sw. The weight of a single packaged motor is Wu. The manufacturing cost for the run is given by: where: Cu = per unit cost [$/motor] N = number of units in the run [--] CF = fixed cost for the run [$] C(N) = CN+CF The shipping cost for the run is given by: where: Sw = cost per lb to ship W = total weight of the shipment [lbf] $ Where: The total weight of the shipment is given by: S(W) = SwW Wu = weight per motor (lbf/motor] W(N) = WN N = number of units in the run [--] a. Find the equation for the shipping cost as a function of manufacturing cost, S(C). Hint: find S(N) = S(W(N)), solve for N(S), find C(S) = C(N(S)), then S(C). b. For a manufacturing run, the fixed cost is $12,300, the per unit cost is $65/motor, the shipping cost per pound is $1.25/lby, and the weight of each motor is 43 lb,/motor. Plot S(C) on the graph below. Shipping Cost (S) [$] 50000 45000 40000 35000 30000 25000 20000 15000 10000 5000 5000 10000 15000 20000 25000 30000 35000 40000 Manufacturing Cost (C) [$] 45000 0000s

Answer rating: 100% (QA)

a To find the equation for the shipping cost as a function of manufacturing cost SC we need to follo... View the full answer