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, `x and y produced at each

factory, respectively, and is expressed by the joint cost function:

*C(x,y)=4 x^2 + xy + 8 y^2 + 3600

A) If the company's objective is to produce 800 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 decimal places.)

To minimize costs, the company should produce:

at Factory X and

at Factory Y

B) For this combination of units, their minimal costs will be

dollars. (Do not enter any commas in your answer.)