Company contains (2) production centers (A, B), and (2) services centers (Maintenance and Fuel), and the following data and Percentages related to manufacturing overhead costs for this company:
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- First Securities, Inc., an investment firm, has $380,000 on account. The chief investment officer would like to reinvest the $380,000 in a portfolio that would maximize return on investment while at the same time maintaining a relatively conservative mix of stocks and bonds. The following table shows the investment opportunities and rates of return. Investment Opportunity Rate of Return Municipal Bonds (X1) 0.095 High Tech Stock (X2) 0.146 Blue Chip Stock (X3) 0.075 Federal Bonds (X4) 0.070 a) The Board of Directors has mandated that at least 60 percent of the investment consist of a combination of municipal and federal bonds, at least 25 percent Blue Chip Stock, no more than 30 percent High Tech and Blue Chip Stock, and no more than 15 percent High Tech Stock. Based on above problem, how many constraints are in this problem? A) 3 B) 4 C) 5 D) 2 b) Based on part a, which of the…Within a company is a (micro)economy that is monitored by the accounting procedures. In terms of the accounts, the various departments "produce" costs, some of which are internal and some of which are direct costs. This problem shows how an open Leontief model can be used to determine departmental costs. The sales department of an auto dealership charges 10% of its total monthly costs to the service department, and the service department charges 20% of its total monthly costs to the sales department. During a given month, the direct costs are $68,600 for sales and $29,400 for service. Find the total costs (in dollars) of each department. (Round your answers to the nearest whole number.)Communication Equipment Two sectors of the U.S. economy are (1) audio, video, and communication equipment and (2) electronic components and accessories. Suppose in 1998, the input-output table involving these two sectors was as follows (all figures are in millions of dollars). To Equipment Components (From) Equipment 5,900 500 (From) Components 24,000 29,000 Total Output 90,000 140,000 Determine the production levels (in dollars) necessary in these two sectors to meet an external demand for $81,000 million of communication equipment and $90,000 million of electronic components. Round answers to two significant digits. equipment: $ ? millions components: $ ? millions
- 1. One logistics company is considering two vessels to ship containers. Vessel A can hold 8,000 TEU with fixed costs of $400,000 and variables costs of $700 per TEU. Vessel B can hold 10,000 TEU with fixed costs of $600,000 and variables costs of $500 per TEU. The company charges $1,500 for each TEU it ships. If the company expects to ship 6,000 TEU, which vessel should it select? And what is the point of indifference for the two vessels? Select one: a. Vessel B; Point of indifference=500 TEU b. Vessel B; Point of indifference=1,000 TEU c. Vessel A; Point of indifference=500 TEU d. Vessel B; Point of indifference=600 TEU e. Vessel A; Point of indifference=1,000 TEU f. Vessel A; Point of indifference=600 TEUA company has 4 production facilities. Each facility is eligible to produce Product A, Product B or Product C, but it can only produce one of these products. The annual fixed cost of operating each facility and the variable cost of producing a product of each type at each facility are given in the table. Facility Fixed Cost ($) Variable Cost ($) Product A Product B Product C Facility 1 8,000,000 1200 1600 900 Facility 2 6,000,000 1500 1800 1100 Facility 3 4,000,000 1700 1900 1200 Facility 4 3,000,000 1900 2200 1400 The company must produce 5000 units of each type of product in a year. Formulate an IP to minimize the total annual production cost satisfying the following constraints: Each facility can produce only one type of product. The total production of each type of product must be at a single facility. For instance, if any Products A are produced at facility 1, then all Products A must be produced there. If facilities 3 and 4 are used, then facility 1 must also be used.The Security Company in charge of rescuing visitors in the case of problems at “High Mountain Natural Park” in South Bekaa area has the intention to purchase special trained dogs to help their rescue team, so that they can conduct their search for lost people more efficiently. The rescue team is composed of 10 employees and the company is going to provide each of them with a trained dog. Two types of dogs were selected. The German Shepherd dog breed and the Belgium Malinois breed. The cost of the Belgium Malinois dog breed is $550,00 per dog, while the German Shepherd dog breed is at $850,00 each. For budget reason, the number of German Shepherd dog should be less than half the number of Belgium Malinois. For technical reason, at least three German Shepherd dog must be purchased to get advantage of the special performance of such dog breed in their particular capacity to search for lost person in all weather and under heavy conditions. The overall budget is $6500,00. All of…
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