Write the Resource Constraints for This Situation: Kim and Lynn

Multiple Choice

Write the resource constraints for this situation: Kim and Lynn produce tables (x) and chairs (y) . Each piece is assembled, sanded, and stained. A table requires two hours to assemble, three hours to sand, and three hours to stain. A chair requires four hours to assemble, two hours to sand, and three hours to stain. The profit earned on each table is $20 and on each chair is $12. Together Kim and Lynn spend at most 16 hours assembling, 10 hours sanding, and 13 hours staining.

A) 2x + 4y  16, 3 x + 2y  10, 3x + 3y  13, x  0, y  0
B) 2x + 3y + 3z  20, 4x + 2y + 3z  12, x  0, y  0, z  0
C) 16x + 10y + 13z  0, 2x + 3y + 3z  20, 4x + 2y + 3z  12, x  0, y  0, z  0
D) 8x + 4y  16, (10/3) x + 5y  10, (13/3) x + (13/3) y  13, x  0, y  0