A manufacturer has an order for 1500 units that can be produced at two locations. Let x, y be the number of units produced at each of the two locations. Find the number that should be produced at each location to meet the order and minimize cost if the cost function is given by

C = 0.20x^2 + 10x + 0.15y^2 + 12y

I got x = 4520/7 and y = 5980/7

Am I right? Thanks

I used Lagrangian method