Q.4.14: A hospital outpatient clinic performs four types of operations. The profit per operation, as well as the minutes of X-ray time and laboratory time used are given in Table 72. The clinic has 500 private rooms and 500 intensive care rooms. Type 1 and Type 2 operations require a patient to stay in an intensive care room for one day while Type 3 and Type 4 operations require a patient to stay in a private room for one day. Each day the hospital is required to perform at least 100 operations of each type. The hospital has set the following goals: Goal 1: Earn a daily profit of at least $100,000. Goal 2: Use at most 50 hours daily of X-ray time. Goal 3: Use at most 40 hours daily of laboratory time. TABLE 72 The cost per unit deviation from each goal is as follows: Goal 1: Cost of $1 for each dollar by which profit goal is unmet. Goal 2: Cost of $10 for each hour by which X-ray goal is unmet. Goal 3: Cost of $10 for each hour by which laboratory goal is unmet. Formulate a goal programming model to minimize the daily cost incurred due to failing to meet the hospital's goals