Each unit of a product can be made on either machine A or machine B. The nature of the machines makes their cost functions differ.Total cost is given by C(x,y)equalsUpper C left parenthesis x right parenthesisplusUpper C left parenthesis y right parenthesis. How many units should be made on each machine in order to minimize total costs if x+y=19,740 units are required? c(x)=50+(x^2/6) c(y)=160+(y^3)/9.
Therefore, machine A produces 19600 units and machine B produce 140 units of product in order to minimize total costs.
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