A company sells detergent in three different sized boxes: Small, medium, and large. The medium size costs $50\%$ more than the small size and contains $20\%$ less detergent than the large size. The large size contains twice as much detergent as the small size and costs $30\%$ more than the medium size. What are the three sizes, in order from best value to worst value? Select the most appropriate letter. \[\text{(A)}\, SML \qquad \text{(B)}\, SLM \qquad \text{(C)}\, MSL \qquad \text{(D)}\, MLS \qquad \text{(E)}\, LSM \qquad \text{(F)}\, LMS\] (Here, S, M, and L mean small, medium, and large respectively. So SML means that the small size has the best value, the medium size has the next-best value, and the large size has the worst value.)