IE 1055/2025 Homework 5 Due Feb. 8, 20171. (20 pts)You are the IE in charge of planning for a facility expansion for MedTronics Solutions. The facility expansion is intended to cover a 5 year planning horizon. One of MedTronics high volume products is the Ion3 injector system used for inserting contrast media into patients receiving medical imaging tests (MRIs, CT scans, etc.) Currently, the Ion3 assembly area occupies 1650 square feet. The supervisor of this area is requesting double that space in the new layout because the sales of the Ion3 are projected to increase 20% per year over the next 5 years. Do you agree or disagreewith the Ion3 supervisor’s space request? Why or why not? Fully justify your answer. 2. (30 pts) the following questions refer to Pittsburgh Steel Company (recall this company from a previous HW).a. Create an REL chart for the departments using the list of departments given below.- Sawing- Walking Beam Furnace- Rolling Mills- Annealing- Finishing (Shearing/Grinding)- Receiving/Shipping- Administrative/Office- Maintenance- Personnel Facilities- Finished Goods Storage- Raw Materials Storageb. Determine area requirements for each department. Fully justify how you determined your area requirements thinking about the equipment that may be required and its size, space for personal, etc.3. (15 pts) A real estate agent's office is located in a busy downtown area in a single-floor building that has dimensions of 25 x 65 feet. The parking lot behind the building has dimensions 30 x 65 feet. Four real estate agents and one secretary work in the office. The building must have four offices for the real estate agents, a reception area with space for seating customers, rest rooms, photocopy room, conference room, and multipurpose room, with the following space requirements:Space RequiredRoom (in square feet) Agent office 125 eachOffice and reception area 200Men's room 100 Ladies' room 100Photocopy room 225Conference room 300 Multipurpose room 200Construct a relationship (REL) chart for the facilities. Justify your choice of ratings.4. (15 pts) Discuss the advantages/strengths and disadvantages/weaknesses of using a from-to chart (don’t just repeat things said in class or that are in the book). 5. (20 pts) Suppose that you are conducting analysis for a Benedum Hall parking structure and that Benedum Hall users with cars arrive and depart during the day according to the following process:Mean/hr Std. Dev./hr7 - 9AM Net arrival 150 159AM – 3PM Net arrival 25 53 – 4 PM Net departure 25 54 – 6 PM Net departure 125 156 – 7 PM Net departure 100 157 – 10 PM Net departure 25 5The hourly data is assumed to follow a normal distribution with the means and standard deviations shown for the different time periods and assume that the arrivals during different time periods are independent of one another.a. How many parking spaces do you need so that you fill 98% of the requests for parking? b. If a service attendant (the person you pay when exiting) can process 80 cars an hour, how many attendants do you need during each hour of the day if you want to be able to service all the hourly demand 95% of the time? Assume that from 3-10PM the total departure rate of cars also follows a Normal distribution and is at most 1.5 times the net departure rate (affecting both the mean and variability). Assume that from 7-9AM that the total departure rate of cars also follows a Normal distribution and is at most 0.2 times the net arrival rate (affecting both themean and variability) and that from 9AM-3PM that the total departure rate of carsalso follows a Normal distribution and is at most 1 times the net arrival rate (affecting both the mean and variability). Also, you can vary the number of attendants throughout the