Question

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.

Machine A: C(x)= 60+x^2/6

Machine B: C(y)= 240+y^3/9

Total cost is given by

​C(x,y)equals=Upper C left parenthesis x right parenthesisC(x)plus+Upper C left parenthesis y right parenthesisC(y).

How many units should be made on each machine in order to minimize total costs if

xplus+yequals=22 comma 65022,650

units are​ required?

The minimum total cost is achieved when

nothing

units are produced on machine A and

nothing

units are produced on machine B.

​(Simplify your​ answer.)

Answer 1

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