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- I need help with d, e, and f. I already did a, b, and c. You do not need to use Solver or solve the problems. Just respond to the problem questions using the outputs provided in the problem. A picture in the attach image is a complete question. 1. Recall the Innis Investments problem (Chapter 2, Problem 39). Letting S= units purchased in the stock fund M= units purchased in the money market fund leads to the following formulation: Min 8S + 3M s.t. 50S + 100M≤ 1,200,000 funds available 5S + 4M≥ 60,000 Annual income M≥ 3,000 Units in money market S, M≥ 0 a. What is the optimal solution, and what is the minimum total risk? Already did this part b. Specify the objective coefficient ranges. Already did this part c. How much annual income will be earned by the portfolio? I also did this part too d. What is the rate of return for the portfolio? e. What is the dual value for the funds available constraint? f. What is the marginal rate of…1. Suppose you are going on a weekend trip to a city that is d miles away. Develop a model that determines your round-trip gasoline costs. What assumptions or approximations are necessary to treat this model as a deterministic model? Are these assumptions or approximations acceptable to you? 2. Suppose that a manager has a choice between the following two mathematical models of a given situation: (a)a relatively simple model that is a reasonable approximation of the real situation, and (b)a thorough and complex model that is the most accurate mathematical representation of the real situation possible. Why might the model described in part (a) be preferred by the manager?Answer the following questions. Make sure to number your answers when you upload your response. Suppose Alphonso’s town raised the price of bus tickets to $2.50 per trip (while the price of burgers stayed at $3.50 and his budget remained $11.50 per week.) Draw Alphonso’s new budget constraint. What happens to the opportunity cost of bus tickets? Suppose Alphonso’s town raises the price of bus tickets from $2.50 to $5 and the price of burgers rises from $3.50 to $7. Why is the opportunity cost of bus tickets unchanged? Suppose Alphonso’s weekly spending money increases from $11.50 to $23. How is his budget constraint affected from all three changes? Explain. Use this information to answer the following 4 questions: Marie has a weekly budget of $24, which she likes to spend on magazines and pies. If the price of a magazine is $4 each, what is the maximum number of magazines she could buy in a week? If the price of a pie is $12, what is the maximum number of pies she could buy in a…
- 2 What is the role of linear programming in the business management? whay we need to study and understand LP? explain the special forms of LP.This section contains questions regarding the 2nd part of the Unit 1 with the following topics: 1. Financial Planning2. Savings and budgeting3. Investing 1.Mutual Fund is when an investor directly acquires a claim on a security or property True False 2. The "Rule of 75" is used to determine the number of yearss needed to double the value of your money * True FalsePLEASE USE SIMPLEX METHOD. Thank you! Suppose a company manufactures different electronic components for computers. Component A requires 2 hours of fabrication and an hour of assembly. Component B requires 3 hours of fabrication and an hour of assembly, and component C requires 2 hours of fabrication and 2 hours of assembly. The company has upto 1,000 labor-hours for fabrication, 800 labor-hours of assembly time each work. If the profit on each component A, B, and C is $7, $8, and $10 respectively, how many of each should be produced to maximize profit?
- During the first year software will be purchased from a reputable vendor for $3,000,000. An internal team aided by a hired consulting is also used. The payroll for the internal team is $500,000 for the first year and increases by $500,000 in years two and three. Also, $500,000 will be spent on consulting during the first year and $1,000,000 during each of years two and three. $2,000,000 will need to be invested in hardware during the second year and an additional $500,000 investment in hardware will be needed for year three. $200,000 in training will be needed the first year, $500,000 the second year, and $2,000,000 the third year. Management considers the expenditures for the first three years as investment in the system. Management estimates the operating cost of the system to be $2,500,000 (for personnel and other costs) in year 4 and to grow by 6% per year for years 5 through 10. The benefits are estimated to be $4,000,000 for year 4 and to grow by 30% per year for years 5…Is my solution correct and did I fully answer the questions? (see attachment for my solution) Question: There are three factories on Momiss River. Each emits two types of pollutants, labeled P1 and P2, into the river. If the waste from each factory is processed, the pollution in the river can be reduced. It costs $1,500 to process a ton of factory 1 waste, and each ton processed reduces the amount of P1 by 0.10 ton and the amount of P2 by 0.45 ton. It costs $2,500 to process a ton of factory 2 waste, and each ton processed reduces the amount of P1 by 0.20 ton and the amount of P2 by 0.25 ton. It costs $3,000 to process a ton of factory 3 waste, and each ton processed reduces the amount of P1 by 0.40 ton and the amount of P2 by 0.50 ton. The state wants to reduce the amount of P1 in the river by at least 125 tons and the amount of P2 by at least 175 tons. a. Use Solver to determine how to minimize the cost of reducing pollution by the desired amounts. Are the LP assumptions…The Schoch Museum (see Problem 30 in Chapter 11) is embarking on a five-year fundraising campaign. As a nonprofit institution, the museum finds it challenging to acquire new donors, as many donors do not contribute every year. Suppose that the museum has identified a pool of 8,000 potential donors. The actual number of donors in the first year of the campaign is estimated to be somewhere between 60% and 75% of this pool. For each subsequent year, the museum expects that a certain percentage of current donors will discontinue their contributions. This is expected to be between 10% and 60%, with a most likely value of 35%. In addition, the museum expects to attract some percentage of new donors. This is assumed to be between 5% and 40% of the current year’s donors, with a most likely value of 10%. The average contribution in the first year is assumed to be $50 and will increase at a rate between 0% and 8% each subsequent year, with the most likely increase of 2.5%. Develop and analyze a…
- Finally, due to budget constraint, your inititial budget of $100,000 has been reduced to $75,000. SET YOUR CONSTRAINTS, DECIDE WHICH AREAS/TASKS BUDGET TO BE ADJUSTED AND USE EXCEL SOLVER TO CREATE YOUR FINAL BUDGET. Submit your plan and your reasoning behind the decisions and why your plan will make the event a success. Excel spreadsheet must show the distribution of your initial budget of $100,000 and your final budget of $75,000 with the constraints you set. Use the the excel spreadsheet image and show constraints.Assume “Jane” saves $10,000 per year for 10 years starting at age 25. At age 35 she no longer is able to save but leaves her accumulated savings invested until age 65 when she retires. Assume “John” does not begin saving until age 35, but then saves $10,000 per year until age 65 when he also retires. Assume John and Jane invest their entire wealth in the same mutual fund. Who accumulates a larger retirement nest egg? 1. Answer this question by building an Excel spreadsheet that allows you to show the difference in wealth at age 65 assuming an annual rate of return of 8%. Make sure your model allows you to change the assumed rate of return and automatically recalculate the difference in wealth at age 65. 2. At what assumed rate of return are John and Jane’s wealth at age 65 equal? Use “Goal Seek” in order to find this rate of return. 3. Create a graph to clearly show how final wealth for John and Jane depends on the rate of return. Start at 0% and increase the rate of return in…Darryl Wilson owns Darryl's Deals on Wheels, a small used-car dealership in Humble, Texas. Wilson started the company three years ago, but he is still struggling to get a solid footing in the industry. The slow economy isn't helping—no one seems to have money to buy cars right now—and there is plenty of competition. The business provides the main source of income for his family, which includes his wife and two teenage daughters. Wilson has to make this business work to keep food on the table and to pay the typical expenses involved in raising a family. Finding customers is essential to success in the car sales business, but so is holding down costs. This means Wilson has to find "rolling stock" that is in demand and inexpensive, but that is not easy to do because all the other dealers in his area are in the same boat. They, too, are trying to snap up the best deals, and this is driving up the cost of inventory. So, controlling costs means looking at other features of the business, and…