A firm has two opportunities for a new plant location, one is in China and the other is in Mexico. The firm's production function is given by q = L^0.5K^0.5. In China, the cost of labor is w=$15 and the cost of capital is r=$5. In Mexico, w=$10 and r=$10. The firm wants to produce 100 units of output. Which location should the firm choose for their new plant? Explain why.

Note: Please round the optimal amounts of capital and labor at each location to the nearest whole number when making your calculations.

Hint: cost-minimization rule