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- Company X is planning to run a project that requires an initial investment of RM 80,000.Operation cost is estimated at RM 20,000 per year starting one year from the start of theproject until its project life. Starting second year onwards, the operation cost is expectedto increase by RM 5,000 from previous year. The project will start to generate its annualincome of RM 70,000 on the second year until fifth year. The salvage value of the projectis RM 50,000 and its project life is five years. a) Construct the cash flow diagram to summarize the above transactions. b) Determine the expected project value at the end of five years. Assume the growth rateis 12%.The below is an extract from the fixed asset register of ABC Ltd as at 31 December 2019Date of PurchaseCostuseful lifeLand1-Jan-306,000,000.000Building28-Feb-172,000,000.0020Vehicle:650,000.00Toyota Hilux1-Oct-19 350,000.005Ford Ranger30-Jun-17 300,000.005Furniture and Fittings1-May-20150,000.002Activities throughout the 2020 Financial Period:1. New Machinery have been purchased on 01 April 2020 at a Cost of N$ 4000,000. The machinery has been installed on the 15 April 2020 and was available for use on the 01 May 2020. Machinery is the only property plant and equipment of the company that is measured according to the revaluation method.1.1. On the 30th of October 2020 management decided to revalue the machinery due to a drastic decline in the revenue from sale of machinery produced inventory.Net replacement cost for the machine as at the 30th of October 2020 is N$2 000 000.2. The Toyota Hilux was involved in an accident on 1 October 2020 due to the floods and was written off by the…Ann and Ben are getting divorced and want todetermine how to divide their joint property: retirementaccount, home, summer cottage, investments, and miscellaneous assets. To begin, Ann and Ben are told to allocate100 total points to the assets. Their allocation is as shownin Table 69.Assuming that all assets are divisible (that is, a fractionof each asset may be given to each person), how should theassets be allocated? Two criteria should govern the asset allocation:Criteria 1 Each person should end up with the same number of points. This prevents Ann from envying Ben and Benfrom envying Ann.Criteria 2 The total number of points received by Ann andBen should be maximized.If assets could not be split between people, what problemarises? TAB LE 69PointsItem Ann’s Ben’sRetirement account 50 40Home 20 30Summer cottage 15 10Investments 10 10Miscellaneous 5 10
- Please do not give solution in image format thanku Let xi = 1 if Project i is selected, i = 1,2,3,4,5; and 0 otherwise: Which answer below indicates that if Project 2 is selected, then Project 4 must be selected? Group of answer choices None of the above x2 + x4 = 1 x2 + x4 ≤ 1 x4 ≤ x2 x2 ≤ x4A young engineer is considering establishing his own small company.An investment of Php 100,000 will be required which must be recovered in 15years . It is estimated that sales will be Php 150,000 per year and thatoperating expenses will be as follows:Material Php 40,000 per yearLabor Php 70,000 per yearOverhead Php 10,000 + 10% of sales/yearSelling expenses Php 5,000/yearThe young engineer will give up his regular job paying Php 150,000 per yearand devote full time to the operation of the business. This will result indecreasing labor by Php 10,000 per year , material cost by Php 7000 peryear, and overhead cost by Php 8000 per year. If the young engineer expectsto earn at least 20% on his capital, should he invest ?Consider a long roll of wallpaper that repeats its patternevery yard. Four sheets of wallpaper must be cut from theroll. With reference to the beginning (point 0) of thewallpaper, the beginning and end of each sheet are locatedas shown in Table 78. Thus, sheet 1 begins 0.3 yd from thebeginning of the roll (and 1.3 yd from the beginning of theroll) and sheet 1 ends 0.7 yd from the beginning of the roll(and 1.7 yd from the beginning of the roll). Assume we are at the beginning of the roll. In what order should the sheetsbe cut to minimize the total amount of wasted paper?Assume that a final cut is made to bring the roll back to thebeginning of the pattern.
- A chocolate maker has contracted to operate a small candy counter in a fashionable store. To startwith, the selection of offerings will be intentionally limited. The counter will offer a regular mixof candy made up of equal parts of cashews, raisins, caramels, and chocolates, and a deluxe mixthat is one-half cashews and one-half chocolates, which will be sold in one-pound boxes. In addition, the candy counter will offer individual one-pound boxes of cashews, raisins, caramels, andchocolates.A major attraction of the candy counter is that all candies are made fresh at the counter. However, storage space for supplies and ingredients is limited. Bins are available that can hold theamounts shown in the table.IngredientCapacity(pounds per day)Cashews 120Raisins 200Caramels 100Chocolates 160In order to present a good image and to encourage purchases, the counter will make at least 20boxes of each type of product each day. Any leftover boxes at the end of the day will be removedand given to a…ABC Cabinets received a contract to produce bookshelf speakers (BS) and floor speakers (FS) over the next 2months. The contract says ABC must deliver 2100 BS and 1500 FS at the end of month 1 and deliver 1200 BS and2600 FS at end of month 2. The time to make a BS is 0.7hr and a FS is 1hr. Raw material costs $10 for each BSand $12 for each FS and there is an unlimited amount available. Labor costs are $22/hr using regular productiontime and $33/hr using overtime. ABS has up to 2400hrs of regular production time each month and up to 1000additional hours of overtime each month. Any cabinets left at the end of month 1 can be stored for $5/cabinet.(a) Formulate an LP to determine the number of units that should be manufactured each month on regular andovertime to minimize total production and storage costsPerdaris Enterprises had an expenditure rate of E′(x) = e0.1x dollars per day and an income rate of I′(x) = 98.8 - e0.1x dollars per day on a particular job, where x was the number of days from the start of the job. The company’s profit on that job will equal total income less total expenditures. Profit will be maximized if the job ends at the optimum time, which is the point where the two curves meet. Find the following.(a) The optimum number of days for the job to last(b) The total income for the optimum number of days(c) The total expenditures for the optimum number of days(d) The maximum profit for the job
- You own wheat warehouse with capacity of 20,000 bushels. At the beginning of month 1, you have 6,000 bushels of wheat. Each month, wheat can be bought and sold at the price per 1000 bushels given in the table Month Selling price ($) Purchase prie ($) 1 3 8 2 6 8 3 7 2 4 1 3 5 4 4 6 5 3 7 5 3 8 1 2 9 3 5 10 2 5 The sequence of events during each month is as follows: a. You observe your initial stock of wheat. b. You can sell any amount of wheat up to your initial stock at the current month's selling price. c. You can buy(at the current month's buying price) as much wheat as you want, subject to the warehouse size imitation. Your goal is to formulate an LP that can be used to determine how to maximise the profit earned over the next 10 months and solve using Excel solver or AMPLMonica and Isabel are roommates who, on this particular Saturday morning, are trying to decide what scarf to wear. Each has a Burberry scarf (which we’ll denote B), a tan scarf (denoted T), and a mauve scarf (denoted M). They care about the scarf but also about whether they end up wearing the same or different scarves. The preference ordering (from best to least preferred outcome) for Monica is: (1) she wears B and Isabel wears T or M; (2) she wears T and Isabel wears B or M; (3) she wears B and Isabel wears B; (4) she wears T and Isabel wears T: (5) she wears M and Isabel wears M; and (6) she wears M and Isabel wears B or T. Isabel’s preference ordering is: (1) she wears T and Monica wears B or M; (2) she wears M and Monica wears B or T; (3) she wears T and Monica wears T; (4) she wears M and Monica wears M; (5) she wears B and Monica wears B; and (6) she wears B and Monica wears T or M. Applying the IDSDS, which scarves will be worn?With the start of school approaching, a store is planning on having a sale on school materials. They have 600 notebooks, 500 folders and 400 pens in stock, and they plan on packing it in two different forms. In the first package, there will be 2 notebooks, 1 folder and 2 pens, and in the second one, 3 notebooks, 1 folder and 1 pen. The price of each package will be $6.50 and $7.00 respectively. How many packages should they put together of each type to obtain the maximum benefit? You can use excel to solve X1 = Price of package #1 X2 = Price of package #2 (10) Objective function: (15) ALL Constraints:
