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- (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs.If the elevator operator weighs 205 lbs and has to move hundreds of boxes from the ground floor to the Penthouse, if each box weighs 65 lbs, what is the maximum number of boxes that can be safely conveyed on the elevator on each trip?18(b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per 1000 litres for water usage in excess of 10,000 litres.In 2019 one homeowner’s monthly bill ranged from $137.00 to $245.08.Find the range for the water used by that homeowner.(c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must,by agreement, contain a rectangular border of uniform width and must be exactly 120 sq meters in area.(i) How wide should the border be? Round to the nearest tenth of a metre.(ii) If physical planning laws require at least a 2-metre-wide border around a pool, would the contractor be able to satify both the client and…1. Assign the maximum amount to this cell that is allowable based on the supply and demand constraints. 2. Selecting the cell in the northwest corner of the transportation table. 3. Exhaust the demand from each solution before moving right to another column. 4. Check to make sure that the supply and demand are met.5. Exhaust the supply from each row before moving down to another row. Which of the following order of arrangement in using Northwest Corner Rule? a. 12345 b. 13254 c. 23541 d. 21534 Check whether the solution is balanced or not. Then, use the Northwest Corner Rule to find the initial feasible solution. a. Balance b. Not balance c. Total Supply 104 d. Total Supply 140 e. Total Demand 104 f. Total Demand 140 g. initial feasible solution - 345 h. initial feasible solution - 435A university engineering department has introduced a new software package called SOLVIT. To save money, the university’s purchasing department has negotiated a bargain price for a 4 user license that allows only 4 students to use SOLVIT at any one time. It is estimated that thsi should allow 90% of students to use the package when they need it. The student's union has asked for more licenses to be bought since engineering students report having to queue excessively to use SOLVIT. As a result the computer Centre monitors the use of the software. Their findings show that on average 20 students are logged on at peak times and 4 of these want to use SOLVIT. Was the purchasing department estimate correct? Answer this by yes or no and show your proof why you choose yes or no.
- 1- A walnut grower estimates from past records that if 20 trees are planted per acre, theneach tree will average 60 pounds of nuts per year. If, for each additional tree planted peracre, the average yield per tree drops 2 pounds, then how many trees should be planted tomaximize the yield per acre? What is the maximum yield? 2- A multimedia company anticipates that there will be a demand for 20,000 copies of acertain DVD during the next year. It costs the company $0.40 to store a DVD for oneyear. Each time it must make additional DVDs, it costs $250 to set up the equipment.How many DVDs should the company make during each production run to minimize itstotal storage and setup costs? 3- Suppose $5,000 is invested at an annual interest rate of 7%. Compute the balance after10 years if the interest is compounded:a. Annuallyb. Quarterlyc. Monthlyd. Continuously 4- Calculate the second derivative of the function y = f (x) defined by the equationx3 + y3 +3xy + 3y2 + 6x + 6y =0 at the point x…(a) What is the total manufacturing time required to meet the office chairdemand?(b) What is the total manufacturing time required to meet the reclining chairdemand?(c) What is the total manufacturing time required to meet the studio chairdemand?(d) What is the total manufacturing time required to meet the conferenceroom chair demand?(e) Given the current capacity cushion, what is the available manufacturingtime per workstation?(f) With the current setup, is UFS capable of meeting its demand requirements?(g) Suggest a strategy that could achieve a reduction in production costs.Discuss any advantages and disadvantages of your proposed solution.The Pharoah Inc., a manufacturer of low-sugar, low-sodium, low-cholesterol TV dinners, would like to increase its market share in the Sunbelt. In order to do so, Pharoah has decided to locate a new factory in the Panama City area. Pharoah will either buy or lease a site depending upon which is more advantageous. The site location committee has narrowed down the available sites to the following three very similar buildings that will meet their needs.Building A: Purchase for a cash price of $ 618,100, useful life 26 years.Building B: Lease for 26 years with annual lease payments of $ 70,340 being made at the beginning of the year.Building C: Purchase for $ 653,200 cash. This building is larger than needed; however, the excess space can be sublet for 26 years at a net annual rental of $ 6,540. Rental payments will be received at the end of each year. The Pharoah Inc. has no aversion to being a landlord.Click here to view factor tablesIn which building would you recommend that The…
- Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computerized wheel alignment and balancing machine. Managers feel that maintenance expense is related to usage of the machine, and they have collected the following information on weekly usage of the machine (in hours) and annual maintenance expense (in hundreds of dollars) from 10 other companies that own the machine.Company Weekly Usage(hours) Annual maintenance Expense(hundreds of dollars)A 13 17.0B 10 22.0C 20 30.0D 28 37.0E 32 47.0F 17…The VIP cafeteria door on the Death Star promptly opens at 11:00 am and closes at 1:00 pm (Standard Galactic Time). Nobody is allowed to enter at other times but guests can stay until they finish their meal. To keep their lean physiques, Sith Lords usually spend their allotted 10-minute lunch break in the cafeteria sipping organic kale smoothies. Darth Sidious has a yoga class at 11:00 am, so he never has lunch before noon. Darth Vader must use a straw, so he is allowed an additional 3 minutes to slurp his smoothie. What is the probability that the two of them meet today in the cafeteria? Use continuous probabiltiyA minor league baseball team had 7000 fans in attendance, and total ticket receipts were $26,400. Box seats cost $6, grandstand seats cost $4, and bleacher seats cost $2. If the number of tickets sold for box seats was one-third the number of bleacher seats sold, how many tickets of each type were sold? Lial, Margaret L.. Finite Mathematics with Applications In the Management, Natural, and Social Sciences (p. 293). Pearson Education. Kindle Edition.
- The foundry produces parts to order. An order for 20 custom parts was received. The casting process costs $700 per programmed unit. If the casting is good, then it is manufactured to specifications, at an additional cost of $500 per unit. If a part is not sold, there is a recycling value of $300. The customer has indicated that he is willing to pay $2,000/piece for the set of 20 pieces acceptable; the customer also agreed to pay $1500 for one or two pieces additional. However, the customer does not want to buy less than 20 or more than 22 pieces. Based on historical records, the probability distributions shown in the table below were estimated. How many castings must be programmed in order to maximize profit expected? How likely is it to lose money?A coding supervisor has two full-time coders who average 35 productive hours per week. A standard of 20 minutes per chart has been established as the departmental coding standard. The facility anticipates an increase in the number of discharges since a new wing to the facility is nearing completion. It is anticipated that the number of discharges will increase to a total of 300 discharges to be coded per week. Will new staff be required and, if so, how many additional coders will be needed?A salesperson in a home appliance store is paid $50 per day, plus $25 for each major appliance he sells. If the salesperson wants to earn at least $1200 per week (assume a 5 day work week), what is the MINIMUM number of appliances he must sell per week?