Abu Dhabi Water and Electricity Authority charges its clients for the electricity consumption monthly. The price of 1 Watt is 0.03 Dirhams (if the load is less than or equal to 3000). If the load exceeds 3000 Watts, The company charges 0.05 Dirhams for each additional Watt consumed. To encourage energy savings, ADWEA gives discount of 2% on the total bill for those whose bill is less than 100 dirhams.
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- As of early 2022, the global bitcoin hashrate is 160∗1018 hashes per second. The Antminer S19 can compute 110 TH/s = 110∗1012 hashes per second. It costs $2600 and consumes 3.25kW when operating. Question: Assuming that BTC is worth $40,000, the mining reward is 6.25 BTC, and that electricity costs 10 cents per kilowatt hour, how long would a miner who bought the devices calculated in Question 14 above achieve a 1% market share need to operate in order to break even? For simplicity, assume that the BTC price and hash difficulty do not change.A call center has 60 employees on‐line, each of whom make one phone call every 3 min on average, and talk on average for 2 min. Each call costs 15¢. What is the total traffic in erlangs? How many circuits are required for a GoS of 1%? How much should the yearly (250 working days, 8 working hours a day) lease price be for the company to make a 50% saving in its telephone bills over the first 3 years? Assume the lease set‐up fee of $30,000 should be paid over a period of 3 years.An engineer working in the quality control laboratory of a construction company is 4800, 5810 and 5690 dm3 respectively.It needs sand, fine gravel and coarse gravel. There are 3 quarries where these can be bought. Of these stovesTheir composition is given in the table. How many dm3 from the quarries so that the engineer can make the necessary analysis?sampleUse the Cramer method to solve the need to be taken.
- IKEO is a furniture manufacturer which produces two sizes of wood blocks (type A and B) thatare used to make either a table or a chair. A table is made of a type A and a type B wood blocks,while a chair is made of a type A and two type B wood blocks (See Figure 1) A table makes RM 3 profit, and a chair makes RM 5 profit. If M number of type A and Nnumber of type B wood blocks are produced, how many tables and chairs should themanufacturer make to obtain the greatest profit?For example, let M = 12 and N = 12.By making 4 tables (4 type A and 4 type B) and 4 chairs (4 type A and 8 type B), themanufacturer gain profit as follows,Profit = (RM 3) × 4 + (RM 5) × 4 = RM 32.If the manufacturer makes 2 more tables and 1 less chair, the profit will be increased as follows,Profit = (RM 3) × 6 + (RM 5) × 3 = RM 33.Is this the greatest profit? Write a complete C++ program to help the manufacturer determine the greatest profit obtainfrom making tables and chairs with a given number of M type A and N…Kate is organizing a special outdoor show which will take place on August 15. Theearnings from the show will depend heavily on the weather. If it rains on August 15,the show will lose $20,000; if it is sunny on August 15, the show will earn $15,000.Historically, the likelihood of rain on any given day in mid-August is 27%. Supposethat today is July 31 and Mary has the option of cancelling the show by the end oftoday. If she does so, she will then lose her $1000 deposit for booking of the eventfacilities.(a) Determine Kate’s optimal decision strategy given the above information[Very Hard] Suppose, you are working in a company ‘X’ where your job is to calculate the profit based on their investment. If the company invests 100,000 USD or less, their profit will be based on 75,000 USD as first 25,000 USD goes to set up the business in the first place. For the first 100,000 USD, the profit margin is low: 4.5%. Therefore, for every 100 dollar they spend, they get a profit of 4.5 dollar. For an investment greater than 100,000 USD, for the first 100,000 USD (actually on 75,000 USD as 25,000 is the setup cost), the profit margin is 4.5% where for the rest, it goes up to 8%. For example, if they invest 250,000 USD, they will get an 8% profit for the 150,000 USD. In addition, from the rest 100,000 USD, 25,000 is the setup cost and there will be a 4.5% profit on the rest 75,000. Investment will always be greater or equal to 25,000 and multiple of 100. Complete the RECURSIVE methods below that take an array of integers (investments) and an iterator (always…
- Draw a decision tree given problem below. A businessman must decide whether to open a new mini grocery branch or simply extend the number of hours of its operation on its existing branch with a payoff of Php150,000. According to his friend, demand at a new location can either be low or high, which he probabilities are estimated to be 35% and 65%, respectively. If a new branch is opened and demand proves to be high, the businessman may choose to operate 24hrs (payoff is Php350, 000) or to operate 12hrs (payoff is Php200,000). If a new branch is opened and demand proves to be low, there is no need to operate on a 24-hr basis but instead, they will just stick to 12-hr operation with payoff of Php100,000 or enhance marketing strategy through advertising. Projected response to advertising may either be favorable or not favorable, with estimated probabilities of 40% and 60%, respectively. If demand is favorable, the payoff grows to Php310,000 and if the response in unfavorable, the payoff is…A known distribution company intends to reward it deserving employees with a bonus only for sales agents who reached the quota of Php50,000. Considering its mainstream operations, the firm wants to limit it to Manila and San Juan. Details of its roster is shown below: Name Area Position Sales Denni Cruz Caloocan Manager 76,400 Carmen Romulo Manila Sales Agent 53,085 Lea Ramirez Quezon City Rep 98,320 Exequiel Cabanda Las Pinas Supervisor 67,082 Marissa Caparaz Manila Sales Agent 59,999 Michael Guba Pasay Manager 43,999 Leslie Romero Caloocan Rep 93,000 Patrick Cua Quezon City Store Manager 100,032 Paul Rodrigues San Juan Sales Agent 32,028 Eryck Pangin San Juan Rep 100,320 Ezra Reyes Manila Sales Agent 50,021 Henry Dominquez Makati Supervisor 65,000 Sarah Folloja Paranaque Gen. Manager 82,092 Using logical functions, determine the qualified.To cut an 'n' centimeter-long gold bar into 2 pieces costs $n. When a gold bar is cut into many pieces, the order in which the cuts occur can affect the total amount of costs. For example, to cut a 20 centimeter gold bar at length marks 2, 8, and 10 (numbering the length marks in ascending order from the left-hand end, starting from 1). If the cuts to occur in left-to-right order, then the first cut costs $20, the second cut costs $18 (cutting the remaining 18 centimeter bar at originally length mark 8), and the third cut costs $12, totaling $50. If the cuts to occur in right-to-left order, however, then the first cut costs $20 time, the second cut costs $10, and the third cut costs $8, totaling $38. In yet another order, the first cut is at 8 (costing $20), then the 2nd cut is at 2 (costing $8), and finally the third cut is at 10 (costing $12), for a total cost of $40. Given an 'n' centimeter-long gold bar G and an array C[1..m] containing the cutting points in ascending order): a.…
- The Mayfree Appliance Company requires sheet metal for its appliances. The company can purchase long coils of sheet metal in two different widths: 65 inches and 40 inches. The company must purchase the coils by linear foot of length: $1.20 per foot for a 64-inch coil and $1.00 per foot for a 40-inch coil. (This implies that a square foot, say, of the wider coil is less expensive.) Up to 4000 feet of the 65-inch coil is available, and up to 6000 feet of the 40-inch coil is available. There are manufacturing requirements for six different widths: 50, 45, 40, 35, 20, and 10 inches. Mayfree’s requirements are expressed as lengths of the various widths. The company requires 1000 feet of 50-inch width, 2500 feet of 45-inch width, 3000 feet of 40-inch width, 2300 feet of 35-inch width, 1300 feet of 20-inch width, and 2000 feet of 10-inch width. Determine how much of each width coil Mayfree should purchase and how it should cut the coils into various widths to meet its requirements at minimal…Please use the Hungarian Method for finding the optimal assignment of jobs to workers. Abigail charges 12 dollars for Yardwork, 25 dollars for Repairs, and 20 dollars for Painting.Bich charges 3 dollars for Yardwork, 5 dollars for Repairs, and 16 dollars for Painting.Caleb charges 4 dollars for Yardwork, 10 dollars for Repairs, and 18 dollars for Painting.You want all three jobs done for the cheapest total amount possible between these three workers.There is a 15 days tour of visiting 5 national parks. There is a stay of two day at each park. So, 2 multiplied by 5 = 10 days are spent at staying in those 5 parks. Now the remaining days left are 15 - 10 = 5 days which have to be spent on travelling on visiting these parks. Mode of travel will be : Travel by car from SF to YO = $ 130 which is one way cost. It will take half day in travelling from SF to YO. Travel by air from YO to YE = $ 400 . It will take half day in travelling. Now, the total days left for travelling is 4 days. Travel by car from YE to GT = $ 70 . It will take whole one day in travelling. Travel by car from GT to MR will take two days and will cost $ 100 . Travel from MR to back to SF = $ 450 by air. It will take half day for this air travel. This is the best economical travel incurring traveeling cost of $ 1150 . Table 1. Need code in python using PULP and linear programming libraries