S = hours of sleep, L = hours of labor, and C = hours of consumption. The cost of consumption is $ 6 per hour. Labor pays $ 4 per hour. What is the best way to use each 24 hours to maximize: U(S , C) = S ^3\4 C^1/4

9- Let S= hours of sleep, L = hours of labor, and C= hours of consumption. The cost of consumption is $6 per hour. Labor pays $4 per hour. What is the best way to use each 24 hours to maximize: U(S,C)= S^3/4 C^1/4