TRUE OR FALSE The simplex method is a linear programming procedure designed to handle only three variables
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TRUE OR FALSE
The simplex method is a linear programming procedure designed to handle only three variables
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- Forrester and Cohen is a small accounting firm, managed by Joseph Cohen since the retirement in December of his partner Brad Forrester. Cohen and his 3 CPAS together bill 640 hours per month. When Cohen or another accountant bills more than 160 hours per month, he or she gets an additional "overtime" pay of $63.80 for each of the extra hours: this is above and beyond the $5,100 salary each draws during the month. (Cohen draws the same base pay as his employees.) Cohen strongly discourages any CPA from working (billing) more than 245 hours in any given month. The demand for billable hours for the firm over the next 6 months is estimated below: Month Estimate of Billable Hours Jan. 600 Feb. 500 Mar. 1,020 Apr. 1,210 May 660 June 590 Cohen has an agreement with Forrester, his former partner, to help out during the busy tax season, up to 245 hours in any given month if needed, for an hourly fee of $135. Cohen will not even consider laying off one of his colleagues in the case of a slow…Pete Morton is planning to go to graduate school in a program of study that will take three years. Pete wants to have $13,000 available each year for various school and living expenses. If he earns 8 percent on his money, how much must be deposited at the start of his studies to be able to withdraw $13,000 a year for three years? (Exhibit 1-A, Exhibit 1-B, Exhibit 1-C, Exhibit 1-D)A trust officer at the Blacksburg National Bank needs to determine how to invest $100,000 in the following collection of bonds to maximize the total annual return (before tax). Bond Annual Return Maturity Risk Tax-Free A 9.5% Long High Yes B 8.0% Short Low Yes C 9.0% Long Low No D 9.0% Long High Yes E 9.0% Short High No The officer wants to invest as least 50% of the money in short-term issues and no more than 50% in high-risk issues. At least 30% of the funds should go in tax-free investments, and at least 40% of the total annual return should be tax free. Suppose the decision variable represents the amount of money invested in bond for . Formulate a linear programming (LP) model to solve the optimal strategy. 1. Write down the constraint using the defined decision variables requiring “invest as least 50% of the money in short-term issues”. 2. Write down the constraint using the defined decision…
- Mack's guitar fabrication shop produces low cost, highly durable guitars for beginners. Typically, out of the 100 guitars that begin production each month, only 80 percent are considered good enough to sell. The other 20 percent are scrapped due to quality problems that are identified after they have completed the production process. Each guitar sells for $260. Because some of the production process is automated, each guitar only requires 10 labor hours. Each employee works an average of 160 hours per month. Labor is paid at $10 per hour, materials cost is $42 per guitar, and overhead is $4,000.a. The labor productivity ratio for Mack's guitar fabrication shop is $___per hour. (Enter your response rounded to two decimal places.) b.The multifactor productivity ratio for Mack's guitar fabrication shop is __(Enter your response rounded to two decimal places.) After some study, the operations manager Darren Funk recommends 3 options to improve the company's multifactor…Forrester and Cohen is a small accounting firm managed by Joseph Cohen since the retirement in December of his partner, Brenda Forrester. Cohen and his 3 CPAS together bill 620 hours per month. When Cohen or another accountant bills more than 155 hours per month, he or she gets an additional "overtime" pay of $63.20 for each of the extra hours. This is above and beyond the $4,900 salary each draws during the month. (Cohen draws the same base pay as his employees.) Cohen strongly discourages any CPA from working (billing) more than 250 hours in any given month. The demand for billable hours for the firm over the next 6 months is estimated below. attempted Cohen has an agreement with Forrester, his former partner, to help out during the busy tax season, up to 250 hours in any given month if needed, for an hourly fee of $135. Cohen will not even consider laying off one of his colleagues in the case of a slow economy. He could, however, hire another CPA at the same salary as business…Solving Integer Programming - Number 2 only
- 2. A firm makes two products X and Y and has a total production capacity of 9 tons per day.X and Y requiring the same production capacity. The same has a permanent contract to supply at least two tons of X and at least 3 tons of Y per day to another company. Each ton of X requires 20 machine hours of production time and each ton of Y requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. The entire firm's output can be sold and profit made is 80 R.O of X and 120 R.O per ton of Y. It is required to determine the production schedule for maximum profit and to calculate this profit. Formulate a LPP.excel format and show stepsA linear programming computer package is needed. Epsilon Airlines services predominately the eastern and southeastern United States. A vast majority of Epsilon's customers make reservations through Epsilon's website, but a small percentage of customers make reservations via phone. Epsilon employs call-center personnel to handle these reservations along with any problems with the website reservation system and for the rebooking of flights for customers if their plans change or their travel is disrupted. Staffing the call center appropriately is a challenge for Epsilon's management team. Having too many employees on hand is a waste of money, but having too few results in very poor customer service and the potential loss of customers. Epsilon analysts have estimated the minimum number of call-center employees needed by day of week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are given in the following table. Day s.t. Monday Tuesday…
- A trust officer at the Blacksburg National Bank needs to determine how to invest $150,000 in the following collection of bonds to maximize the annual return. Bond Annual Return Maturity Risk Tax Free A 9.5% Long High Yes B 8.0% Short Low Yes C 9.0% Long Low No D 9.0% Long High Yes E 9.0% Short High No The officer wants to invest at least 40% of the money in short-term issues and no more than 20% in high-risk issues. At least 25% of the funds should go in tax-free investments, and at least 45% of the total annual return should be tax free. Formulate the LP model for this problem. Create the spreadsheet model and use Solver to solve the problem. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Mack's guitar fabrication shop produces low cost, highly durable guitars for beginners. Typically, out of the 100 guitars that begin production each month, only 82 percent are considered good enough to sell. The other 18 percent are scrapped due to quality problems that are identified after they have completed the production process. Each guitar sells for $260. Because some of the production process is automated, each guitar only requires 88 labor hours. Each employee works an average of 160 hours per month. Labor is paid at $10 per hour, materials cost is $42 per guitar, and overhead is $4,200. a. The labor productivity ratio for Mack's guitar fabrication shop is $26.65 per hour. b. The multifactor productivity ratio for Mack's guitar fabrication shop is (Enter your response rounded to two decimal places.)A custom motor cycle shop is experiencing high demand from its customers for its services. The owner performs all tasks relating to customization. Assume each customer brings one motor cycle for customization. The owner needs to determine if he needs to add more help to meet customer demand. A week has 40 hours ( maximum amount of time for the owner to work) The maximum number of customizations that can be done per week is 10 bikes ( if there is no wasted time). The following is the data collected from observations for a typical week : Every Friday the shop is cleaned by the owner. This takes 4 hours. - 15 % of the customizations needs rework which takes 50 % more time than regular customization - 10 % of the customers will be called by the owner. This takes 2 hours per customer. Determine OEE. How should the owner handle the business ? Show all formulas used, calculations and results. Do on Blk Bd For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).