Assignment 13.7 Lagrange Multiplier Method
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Question 4
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0/10 pts 2 99 Details
A firm manufactures a commodity at two different factories, Factory X and Factory
Y. The total cost (in dollars) of manufacturing depends on the quantities, \textit{x} and \textit{y}
produced at each factory, respectively, and is expressed by the joint cost function:
$C(x, y) = 2x^2 + xy + 4y^2 + 400$
A) If the company's objective is to produce 600 units per month while minimizing
the total monthly cost of production, how many units should be produced at each
factory? (Round your answer to whole units, i.e. no fractions or decimals.)
To minimize costs, how many units should the company produce at each Factory?
Enter the values rounded to the nearest whole number.
The number of units at Factory X is
The number of units at Factory Y is
B) For this combination of units, their minimal costs will be
dollars. (Use the rounded values from part A to
calculate the minimum cost.)
