A. forming the problem as linear programmingThere is a company which is producing two products whose profits are $3 and $2. However, the companyhas a fixed $3 loss of profit in total. The resources for two of the first product and one of the secondproduct are at most $9. The available budget for one of the first product and two of the second productis at least $9. Please form this problem as a linear programming problem.

Decision Variables: Suppose-X be the no. of first product to be producedY be the no. of second…

Answered: A. forming the problem as linear…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A convenience store manager earns a base salary plus a small bonus of $190 for each of ten different possible monthly milestones he meets. If the manager meets a milestone, the full bonus is paid. However, if the manager falls even one penny short, none of that bonus is paid. Suppose each of the ten milestones requires 40 hours of effort to meet, and that the manager has 160 hours of effort to allocate to work each month. Question: In order to maximize the total monthly bonus, the manager should allocate___hours toward meeting each of ___ milestones and ___hours toward meeting each of the remaining___ sales milestones. There are 4 blanks to fill for this question
A group of students organizes a bake sale in which they sell hundreds of cookies at$1 per piece. They set up a table on campus and wait for students to come and purchasetheir cookies. Consider the following variables in this bake sale operation:1. Size of the cookies2. Weather conditions on campus3. Organization of the table4. Number of cookies sold5. Competition from other fund-raisers coinciding on campus6. Amount of advertising and shouting of the students at the bake sale table7. Number of students on campus that dayWhich of these variables are input variables?a. 1 and 2b. 1 and 3c. 1, 3, and 5d. 1, 3, and 6
Crestline Manufacturing must decide whether to invest in process option X or option Y. Process X includes automated assembly equipment and requires three employees. On the other hand, process Y includes semi-automated assembly equipment and requires six employees. Process X incurs a fixed cost of $900,000 and a variable cost of $25 per unit. Machine Y incurs a fixed cost of $600,000 and a variable cost of $30 per unit. Solve the following and show all the steps: a) What is the break-even quantity between these two processes? Provide a rough plot of your analysis and show the break-even point on the plot. b) If predicted demand for next year is 80,000 panel folds, which process option do you recommend? How much cost does the recommended process save?
Suppose that two firms, an incumbent and a potential entrant, compete in a market. If they both operate, the resulting profits for the incumbent and the potential entrant are $30 million and $5 million, respectively. If the potential entrant decides not to enter the market, the resulting profits for the incumbent and potential entrant are $100 million and $0, respectively. Assume that it is not an option for the incumbent to exit the market. 1) Which of the two possible outcomes (for the potential entrant to enter or not enter) are Pareto efficient? 2) Now suppose there are side payments available. Which of the two possible outcomes is Pareto efficient? 3) Is it possible that the incumbent will agree to pay for the introduction of side payments? 4) Now suppose that side payments are allowed, but it costs $80 million in legal fees to actually use them. Which of the two possible outcomes (for the potential entrant to enter or not enter) are Pareto efficient allocations? (For simplicity,…
Matt Mona is in the process of purchasing a motel near a college town. Themotel costs $3,500,000. The lot costs $500,000. Furniture and furnishings cost $700,000 and should be recovered in seven years (seven-year MACRS property), while the cost of the motel building should be recovered in 39 years (39-year MACRS real property placed in service on January 1). The land will appreciate at an annual rate of 5% over the project period, but the building will have zero salvage value after 25 years. When the motel is full (100% capacity), it takes in (receipts) $6,000 per day for 365 days per year. The motel has fixed operating expenses, exclusive of depreciation, of $430,000 per year. The variable operating expenses are $220,000 at 100% capacity and vary directly with percent capacity down to $0 at 0% capacity. If the interest rate is 10% compounded annually, at what percentage capacity must this motel operate in order to break even? (Assume that Matt's tax rate is 30% and the project life is…
John is shopping for a new camera. He wants to be a professional photographer, so he wants a brand name that is used by professionals. After some research he determines that professionals use Nikon, Canon, Sony and Fuji. In addition, he would like the camera to have interchangeable lenses, and both manual and automatic settings. However, John is still a student, and he cannot afford to spend more than $500. He decides that, since money is the limiting factor, he will make a list of all cameras he can find that sell for under $500. Next, because interchangeable lenses are very important to a professional, he strikes off of his list all the cameras that do not have that feature. If more than one camera is left on the list, he will look at whether one has both manual and automatic settings, etc. What decision rule is John using? Conjunctive Linear Compensatory Straight-forward Disjunctive Lexicographic Disputational
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Giapetto is thinking of buying a new cutting tool for $25 to make toy soldiers and a new clamping tool for $20 to make toy trains. If he does not buy a new tool, he can still make a toy using the older tool he already has. However, using an old cutting tool leads to 50% of the produced soldiers and using an old clamping tool leads to 40% of the produced trains to be defective. With a new tool, there is no defective production. Giapetto cannot sell any defective product. Weekly demands (must be met exactly without left-over inventory) and productions costs are as follows: 1. Soldiers 2. Trains Demand (units/week) Production cost (S/unit) 100 300 12 14 There are other details about the problem which will be added later. Giapetto started formulating a mathematical model considering only the above description and defined the following decision variables: yi: Production quantity for type i toy, i = 1, 2 corresponding to soldiers and trains, respectively. Considering the above problem…
A mining company brings up a land purchase project for 61,000 TL. in order to extract coal. The annual net income of the coal mine is estimated at TL 20,000. At the end of the 10-year useful life, the company is obliged to spend 150.000 TL to make the land suitable for agriculture. Is the project suitable since the annual interest rate is i=10%? Solve according to NBD anal ysis..
Company X is planning to run a project that requires an initial investment of RM 80,000.Operation cost is estimated at RM 20,000 per year starting one year from the start of theproject until its project life. Starting second year onwards, the operation cost is expectedto increase by RM 5,000 from previous year. The project will start to generate its annualincome of RM 70,000 on the second year until fifth year. The salvage value of the projectis RM 50,000 and its project life is five years. a) Construct the cash flow diagram to summarize the above transactions. b) Determine the expected project value at the end of five years. Assume the growth rateis 12%.
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Indicate which of the following is an all-integer linear program and which is a mixed-integer linear program. Write the LP Relaxation for the problem but do not attempt to solve. (a) 70x1 + 65x2 (b) Is this linear program an all-integer linear program or a mixed-integer linear program? This is an all-integer linear program. This is a mixed-integer linear program. Max Write the LP Relaxation for the problem. s.t. (1) (2) (3) Max s.t. ---Select--- (1) 9x₁ + 4.5x₂ ≤ 400 (2) 4.5X₁ + 2x₂ ≤250 (3) x₁ + x₂ ≤ 150 X₁, X₂20 and X₂ integer Min s.t. (1) Is this linear program an all-integer linear program or a mixed-integer linear program? This is an all-integer linear program. This is a mixed-integer linear program. (2) Min s.t. Write the LP Relaxation for the problem. 7x1 + 8x2 (1) 6X₁ + 8X₂ ≥ 8 (2) 6X₁ + 10x₂ ≥ 12 X₁, X₂20 and integer ---Select---

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