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Question 3. (33 polnts) Patient Admission and Treatment in a Hospital In this process, the patient is first registered by the receptionist, who collects basic demographic and insurance information. The patient is then assessed by a nurse and a doctor, who take the patient's medical history and perform a physical examination. Based on the assessment, the doctor may order diagnostic tests such as blood tests, X-rays, or CT scans. These tests are performed by a radiology technician or laboratory technician, and the results are reviewed by the doctor. Once the diagnosis is made, the doctor plans the treatment, which may involve medication, surgery, or other interventions. The nurse and pharmacist assist with the treatment planning by providing information on medication administration and side effects. Once the treatment plan is finalized, the nurse administers the treatment, which may involve medication administration, wound care, or other procedures. The doctor supervises the treatment and may make adjustments based on the patient's response. Finally, the social worker and nurse plan the patient's discharge and follow-up care, including scheduling any necessary follow-up appointments and providing instructions for self-care and medication management. Throughout the process, the resources work collaboratively to ensure that the patient receives the best possible care in a timely and efficient manner, while also ensuring that the healthcare staff have the necessary resources and support to perform their tasks effectively. The hospital is open for 10 hours a day and a daily average of 14 patients arrive at this process. There are currently 4 nurses, 3 doctors, and 1 receptionist, 1 radiology technician, 1 laboratory technician, 1 pharmacist, and 1 social worker. The following table provides important information about the process described above: f) (3 points) Compute the total capacity of each resource, considering the number of resources available of each type. Fill in the table below. Add rows to the table as needed. Iabie-44-2. Process capacity caiculations g) (1 point) Which resource(s) is (are) the bottleneck? h) (2 points) What is the capacity of the process? Show your work. Express your answer in patients/day. i) (2 point) What is the flow rate of the process? Express your answer in patients/day. j) (3 points) Assume that 15% of the diagnostic tests are unsatisfactory and should be redone. Is there sufficient capacity to satisfy the average demand of 14 patients/day? Show your work! A simple "Yes" or "No" are not acceptable answers to this question. You have to explain and justify your answer. k) (6 points) Assume that 15% of the diagnostic tests are unsatisfactory and should be redone. Because costs are very high, the hospital management would like to decrease costs. Two proposals are considered. Which proposal is the best for the hospital? Proposal 1: Assume that you would like to improve this process by improving the diagnostic tests. The company is considering buying higher quality machines that would increase the costs $150 per day but decrease the unsatisfactory test rate from 15% to 5%. If a patient brings $500 /day what is the daily total increase in the profit, if any? Proposal 2: Assume that you would like to improve this process by improving the diagnostic tests. The company is considering buying higher quality machines that would increase the costs $300 per day but decrease the unsatisfactory test rate from 15% to 2%. If a patient brings $500 /day what is the daily total increase in the profit, if any? Compute: the change in the capacity, o the change in the daily revenue, o the change in the daily cost, and the change in the daily profit for each proposal. You must show all your work. Finally, explain clearly why you think one proposal is better than the other