The table below shows the enrollments for the foui division of a college. There are 50 new overhead projectors that are to be apportioned among the division based on the enrollments. Division Enrollment Health 1280 Business 3425 Engineering 1968 Science 2936 Total 9609
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- Long-Life Insurance has developed a linear model that it uses to determine the amount of term life insurance a family of four should have, based on the current age of the head of the household. The equation is:y = 850 − .1xwherey = Insurance needed ($000)x = Current age of head of household a. Plot the relationship on a graph. b. Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 30 years old.HMO has 40 doctors to be apportioned among four clinics. The HMO decides to apportion the doctors based on the average weekly patient load for each clinic, given in the following table. Clinic A B C D Average Weekly 275 392 611 724 Patient Load Find the apportion of A and C using using Adam's Method. Use modified divisor 52. Doctors for clinic A Doctors for clinic B = %3D Doctors for clinic C= Doctors for clinic D =26. XYZ and Co has provided the following data seeking your advice on optimum investment strategy: Net return data (in paise) Investment made at the of selected investments Amount beginning of year available (Lakh) 1 95 80 70 60 70 2 75 65 60 50 40 3 70 45 50 40 90 60 40 40 30 30 Маximum Investment (Lakh) 40 50 60 60 The following additional information is also provided: (i) P, Q, R and S represent the selected investments. (ii) The company has decided to have four-year investment plan. (iii) The policy of the company is that amount invested in any year will remain so until the end of the fourth year. (iv) The values (paise) in the table represent net return on investment of 7 1 till the end of the planning horizon (for example, a rupee invested in investment P at the beginning of first year will grow to { 1.95 by the end of the fourth year, yielding a return of 95 paise). Using the above, determine the optimum investment strategy. (CA, November, 1996)
- Find (Locvation Quotent) in the table below Note, LQ = e / E e = local employment in industry / total local employment E = national employment in industry / total national employment total national employment = 112,077.573 total local employment = 288.046A plant manager of a chemical plant must determine the lot size for a particular chemical that has a steadydemand of 30 barrels per day. The production rate is 190 barrels per day, annual demand is 10,500 barrels,setup cost is $200, annual holding cost is $0.21 per barrel, and the plant operates 350 days per year.a. Determine the economic production lot size (ELS).b. Determine the total annual setup and inventory holding cost for this item.c. Determine the time between orders (TBO), or cycle length, for the ELS.d. Determine the production time per lot.What are the advantages of reducing the setup time by 10 percent?SIMPLEX METHOD A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machine time and 3 hours of craftsman’s time in its making while a cricket bat takes 3 hour of machine time and 1 hour of craftsman’s time. In a day, the factory has the availability of not more than 42 hours of machine time and 24 hours of craftsman’s time. If the profit on a racket and on a bat is Php 20.00 and Php 10.00 respectively, find the maximum profit of the factory when it works at full capacity.
- Port Ormond Carpet Company manufactures carpets. Fiber is placed in process in the Spinning Department, where it is spun into yarn. The output of the Spinning Department is transferred to the Tufting Department, where carpet backing is added at the beginning of the process and the process is completed. On January 1, Port Ormond Carpet Company had the following inventories: Finished Goods $8,200 Work in Process-Spinning Department 1,800 Work in Process-Tufting Department 2,900 Materials 4,800 Departmental accounts are maintained for factory overhead, and both have zero balances on January 1. Manufacturing operations for January are summarized as follows: Jan. 1 Materials purchased on account, $82,700 2 Materials requisitioned for use: Fiber-Spinning Department, $43,800 Carpet backing-Tufting Department, $34,900 Indirect materials-Spinning Department, $3,200 Indirect materials-Tufting Department, $2,800 31 Labor used: Direct…2.28 A foundry produces castings to order. An order for 20 special castings has been re- ceived. Since the casting process is highly variable, not all castings produced are good. The cost of producing each casting is $550; the additional cost of finishing a good casting is $125. If a casting is not good, it is recycled at a value of $75; excess good castings are not finished but are recycled at a value of $75. The customer has agreed to accept 15, 16, 17, 18, 19, or 20 castings at a price of $1250 each. If fewer than 15 good castings are produced, none will be purchased by the customer. Prob- ability distributions for the number of good castings produced in a batch of varying sizes are given below. How many castings should be scheduled in order to maximize expected profit? #Good Castings 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 79 2 PRODUCT, PROCESS, AND SCHEDULE DESIGN Number of Castings Scheduled 15 16 17 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00…Janice Brown is employed by Starport Hardware Limited as a store clerk. One day she was inthe store arranging some items on a top shelf, the ladder she was standing on collapsed and shesuffered a broken arm and leg. The doctor told her that she had to a major surgery and it wouldtake approximately three months for her to heal enough to return to work. She is very concernedabout how she would pay her medical and recurring bills during this period. Her colleaguevisited her a week after the accident and told her about workers compensation. She is unsureabout the concepts and seeks your help to answer certain questions. A. Explain the concept ‘workers compensation’ B. Discuss the main objectives of workers compensation.C. Explain to Janice how workers compensation can assist her.D. Self-insurance is connected to workers compensation. State what isself -insurance and outline three advantages of it.
- 25. Consider the following list of retail items sold in a small neighborhood gift shop.Average ProfitItem Annual Volume per ItemGreeting cards 3,870 $ 0.40T-shirts 1,550 1.25Men’s jewelry 875 4.50Novelty gifts 2,050 12.25Children’s clothes 575 6.85Chocolate cookies 7,000 0.10Earrings 1,285 3.50Other costume jewelry 1,900 15.00a. Rank the item categories in decreasing order of the annual profit. Classify eachin one of the categories as A, B, or C.b. For what reason might the store proprietor choose to sell the chocolate cookieseven though they might be her least profitable item?The cost data for Evencoat Paint for the year 2019 is as follows: Month Gallons ofPaintProduced EquipmentMaintenanceExpenses January 110,000 $70,700 February 68,000 66,800 March 71,000 67,000 April 77,000 68,100 May 95,000 69,200 June 101,000 70,300 July 125,000 70,400 August 95,000 68,900 September 95,000 69,500 October 89,000 68,600 November 128,000 72,800 December 122,000 71,450 A. Using the high-low method, express the company’s maintenance costs as an equation where x represents the gallons of paint produced. Then estimate the fixed and variable costs. Fixed cost $ Variable cost $Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.