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- Q1) A retail. Store stocks two types of shirts A and B. These are packed in attractive cardboard boxes. During a week the store can sell a maximum of 400 shirts of type A and a maximum of 300 shirts of type B. The storage capacity, however, is limited to a maximum of 600 of both types combined. Type A shirt fetches a profit of SR 2/- per unit and type B a profit of SR. 5/- per unit. (b) Find the optimal solution (How many of each type) that store should stock per week to maximize the total profit. Use Graphical Method.Q5.ABCCompany knows that the demand for its product during each of the next three months will be as follows: month 1, 2 units; month 2, 3 units; month 3, 2 units. At the beginning of each month, the company must determine how many units should be produced during the current month. During a month in which any units are produced, a setup cost of $2.5 is incurred. In addition, there are variable costs of $1.5, $1 and $2 for the month 1, month 2 and month 3 respectively. The inventory cost is $ 1.5 for each product in stock at the end of a month. Products produced during a month may be used to meet demand for that month or any future month. Given that the initial inventory level is 1 unit. Use an appropriate dynamic programming method to determine a production schedule that will meet all demands on time and will minimize the sum of production and holding costs during the three months.Q. A gas company owns two refineries, 32 LPG bottling plants, and 367 retail outlets. The company has eight executive grades. The first four grades are classified as a junior. Management, fifth and sixth as middle and seven and eighth as top management. Due to unsystematic career management, the company has landed in the peculiar problem of 70% executive strength getting cumulated in the middle grades. For instance, there are 512 executives in the middle management category against the actual requirement of 84. Further, 245 out of these 512 are due to be promoted to the top management category but vacancies are only 27. Due to this lack of adequate career up gradation opportunities. Many in the middle level are frustrated and lack the motivation to perform.1. How do you develop a career planning and development in performance management?2. Discuss what strategy this company must adopt to overcome this situation?
- A NEW GENERATOR HAS JUST BEEN INSTALLED. IT IS EXPECTED THAT THERE WILL BE NO MAINTENANCE CHARGES UNTIL THE END OF THE 5TH YEAR. P300.00 WILL BE SPENT AT THE END OF EACH SUCCESSIVE YEAR UNTIL THE GENERATOR IS SCRAPPED AT THE END OF ITS 14TH YEAR OF SERVICE. WHAT SUM OF MONEY SET ASIDE AT THE TIME OF INSTALLATION OF THE GENERATOR AT 6% WILL TAKE CARE OF ALL MAINTENANCE EXPENSES FOR THE GENERATOR? a.P3,958.31 b.P2,424.84 c.P1,524.79 d.P1,694.325. Daniel is planning to earn money over the summer mowing lawns in the neighborhood to buy a scooter. The scooter he wants costs $2,200. He will be charging $19.1/lawn and estimates his costs to be $2.7/lawn. How many lawns must he mow in order to pay for the scooter entirely through his earnings? a. 115.18 b. None of the other options. c. -134.15 d. 134.15 e. 112.48 f. 2562.2056. Q&H Company advertises during soap operas andfootball games. Each soap opera ad costs $75,000,and each football game ad costs $130,000. If S soapopera ads are purchased, they will be seen by 4S1y2million men and 22S1y2 million women. If F footballads are purchased, they will be seen by 28F1y2 millionmen and 10F1y2 million women. The company wantsat least 60 million men and at least 50 million womento see its ads.a. Determine how to minimize Q&H’s cost ofreaching the required number of viewers.b. How does this model violate the proportionalityand additivity assumptions of LP?c. Suppose that the number of women (in millions)reached by F football ads and S soap opera ads is8F1y2 1 22S1y2 2 0.3(FS)1y2. Why might this bea more realistic representation of the number ofwomen viewers seeing Q&H’s ads?
- Assume that the payoff table provides cost rather than profit payoffs. What isthe recommended decision using:i. the optimistic approachii. the conservative approachiii. the minimax regret approachiv. the Laplace method6) Nicole has decided to go to school which costs her a total of P19,500 and give upi on a job that paid her P24,900 for the year. But instead, she can hope to earn P29,900 after she graduates. Nicole's opportunity cost amount to?a. P19,500 b. P24,900c. P29,900d. P5,000 7. Villanueva Enterprises reported the ff. information. What is the cost of goods manufactured in February?I. Jan. 2017 -job accumulated cost of P3,000ii. Feb. 2017 -the following costs were added to production: Job 1-P10,000 Job 2-P8,000Job 3-P7,000 III. Feb. 2017 Job 1 was completed and sold for P18,000 Job 2 was completed but not sold Job 3 remains in production b. P8,000c. P10,000 d. P13,000e. P21,000 8. Julie borrowed a certain amount from Diane on June 2016. Two years later, Julle i again borrowed P5,000. Julie decided to pay P1,000 on June 2019 and dischargei her balance by paying P7,500 on June 2021. What was the amount borrowed oni June 2016 if the interest rate is 8% compounded annually?a. P1,389.50 b.…5. Meg Jones, the CEO of Ajax Computer Company, and Brad Smith, its Director of Operations, had been discussing how to increase the firm’s production of the company’s flagship XR58. The XR58 was particularly important because it sold 12,500 of them in the most recent year for $950, at a gross margin of 55%. After a lot of discussion, they decided to pursue an incentive system designed to increase production by 12% in the next year. After Brad discussed this possible incentive with the production team, the team determined that it could increase production by this amount without adding any more people or equipment. They believed they could accomplish this improvement primarily through process redesign. To incent them to do the hard work of process improvement, Brad told the team that it would receive 25% of the increased profits if it met the new production goal. For this team of 20 people, this would mean an additional compensation of _________ for each team member, on average, for…
- Minimization Case. Min C = X1 + X2 + X3Subject toX1 – 3X2 + 4X3 = 5X1 – 2X2 <= 32X2 + X3 >=0And X1, X2, X3 >= 0The sales of digital cameras (in millions of units) in year t is given by the function f(t) = 3.04t + 6.82 (0 ≤ t ≤ 3) where t = 0 corresponds to the end of 2001. Over that same period, the sales of film cameras (in millions of units) is given by g(t) = −1.65t + 16.43 (0 ≤ t ≤ 3). (a) Show that more film cameras than digital cameras were sold in 2001. digital cameras million film cameras million (b) When did the sales of digital cameras first exceed those of film cameras?9.5 Capital Healthplans Inc. is evaluating two different methods for providing home health services to its members. Both methods involve contracting out for services, and the health outcomes and revenues are not affected by the method chosen. Therefore, the net cash flows for the decision are all outflows. Here are the projected flows: Year Method A ($) Method B ($) 0 (300,000) (120,000) 1 (66,000) (96,000) 2 (66,000) (96,000) 3 (66,000) (96,000) 4 (66,000) (96,000) 5 (66,000) (96,000) What is each alternative’s IRR? If the opportunity cost of capital for both methods is 9 percent, which method should be chosen? Why?