To Fill an Order for 100 Units of a Product,a

question 88

Essay

To fill an order for 100 units of a product,a firm wishes to distribute the production between its two plants,Plant 1 and Plant 2.The total cost function is given by
c = f(
,
)= 0.5
+ 2
+ 32
+ 500,where
and
are the number of units produced at Plants 1
and 2,respectively.How should the output be distributed in order to minimize costs?

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