Horizon City Hospital plans the short-stay assignment of surplus beds (those that aren't already occupied) 4 days in advance. During the 4-day planning period, about 30, 25, and 20 patients will require 1-, 2-, or 3-day stays, respectively. Surplus beds during the same period are estimated at 20, 30, 30, and 30 respectively. Formulate and solve a goal-programming model to resolve the problem of over-admission and under-admission in the hospital.