A computer manufact. company has 2 assembly plants, plant A and plant B, and two

Question

A computer manufact. company has 2 assembly plants, plant A and plant B, and two distribution outlets, outlet 1 and outlet 2. Plant A can assemble at most 650 computers a month and Plant B can assemble at most 850 computers a month. Outlet 1 must have atleast 700 computers a month and outlet 2 must have 650 a month. Transportation costs for shipping one computer from each plant to each outlet are as follows: $6 from plant A to outlet ; $5 from plant A to outlet II; $3 from plant B to outlet 1 and $4 from plant B to outlet 2. Find a shipping schedule that will minimize the total cost of shipping the computers from the assembly plants to the distribution outlets. Ship____ computers from plant A to outlet 1 ship____computers from plant A to outlet 2 ship___ computers from plant B to outlet 1 ship___ computers from plant B to outlet 2 The minimum shipping cost is ____

Explanation / Answer

we have to MINIMIZE the total cost of shipping Name x1 = number of computers assembled in plant A and transported to outlet I x2 = number of computers assembled in plant A and transported to outlet II x3 = number of computers assembled in plant B and transported to outlet I x4 = number of computers assembled in plant B and transported to outlet II Then we have shipping cost = 6 x1 + 5 x2 + 4 x3 + 8 x4, to be minimized we have as constraints x1+x2=1000 I have a simplex program that calculates maximisation problems so i will convert this to a maximising problem : maximise -6x1-5x2-4x3-8x4 under the constraints x1+x2

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