Solver's Feasibility report is available for every problem that has a feasible solution. O True False
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- Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?Failsafe Electronics Corporation primarily manufactures four highly technical products, which it supplies to aerospace firms that hold NASA contracts. Each of the products must pass through the following departments before they are shipped: wiring, drilling, assembly, and inspection. The time requirements in each department (in hours) for each product and its corresponding profit value are summarized below: (see attached images for the complete details of the problem. Please answer it with solutions. Thank you so much! Godbless.) Solve this LP problem as formulated. What is the solution?a. What is the orrect graph that shows the feasible region for the problem. b. What are the extreme points of the feasible region? c. What is the correct graph that shows the optimal solution for the problem
- Solve this problem in three ways; 1. Graphical 2. Excel solver 3. Sensitivity analysis/ report. a) What will happen to the optimal solution if the unit profit on x increase by 300? b) what will happen happen to the optimal solution if the unit profit on y decreases by 230? c) What will happen to the optimal solution if the unit profit on both x and y change to 700? d) Complete the sensitivity report with upper and lower limit. 1. The JAV Company manufactures two types of lamps; Special lamp and regular lamp. Each special lamp requires 4 pounds of brass and each regular lamp requires 8 pounds of brass. During each production period, the company's brass supply limited to 640 pounds. Each special lamp requires 6 hours of milling time in the machines and each regular lamp requires 2 hours of milling time in the machine, The company's machine are available only for 360 hours in each production period. Each special lamp requires 5 light bulbs that must be imported from…Referring to the above problem, solve it by the vogel approximation method and stepping stone to find the optimal solutionThe Accentuate Consulting Firm has eight projects for which it has contracted with clients to develop computer systems and software. The firm has 35 team members it can assign to the projects. The firm has developed the following profit functions for each project, where equals the number of team members assigned to a project: These functions take into account the project completion time, cost, and probability of successful completion based on the number of team members assigned. The functions reflect the fact that profit increases but at a decreasing rate as team members are assigned. Thus, as additional team members are assigned to a project, the marginal effect decreases. Determine the optimal number of team members to assign to each project in order to maximize profit.
- An Insurance Company is introducing two new product lines: special risk insuranceand mortgages. The expected profit is $5 per unit on special risk insurance and $2 per unit onmortgages. Management wishes to establish sales quotas for the new product lines tomaximize total expected profit. Please see figure for work requirements. The sensitivity report for this optimization problem is given in the following figure 1 - Can you determine the optimal value (maximum expected profit) based on the sensitivityreport? 2 - Identify the non-binding constraint(s).Use Excel to solve the linear program, optimal solution and objective function value. A political candidate is planning his media budget for an upcoming election. He has $90,500 to spend. His political consultants have provided him with the following estimate of additional voites as a result of the advertising effort: for every small sign placed by the roadside, he will garner 20 additional votes for every larg sign placed by the roadside, he will garner 30 additional votes for every thousand bumper stickers placed on cars, the will garner 15 additional votes for every hundred personal mailings to voters, he will garner 40 additional votes for every radio ad heard in the last month, he will garner 485 additional votes The costs for each of the advertising devices, along with the practical minimum and maximum that should be planned for each, are shown on the following table. How should the candidate plan to spend his campaign money? Advertising Medium Cost…A Garment Company manufactures blue jeans. Three designs are considered: A, B, and C. The manufacture of design A requires 5 minutes machine time, 20 minutes labor and costs P325. Design B requires 8 minutes machine time, 30 minutes labor and costs P350 to produce. Finally, design C, the top of the line requires 10 minutes machine time, 1 labor hour, and costs P425 to produce. Brand A sells for P650, brand B for P750, and brand C for P875. The company works on a weekly schedule of five days, with two shifts of 7.5 hours (net time) each. It has six machines available for production and 36 workers on each shift. Its weekly manufacturing budget is P1,750,000. Based on previous demand, they can sell at least 500 units of design B and minimum of 200 units of brand C. Formulate the complete LP model.
- Linear programming has many benefits for everyday life, including solving optimization problems in industry, banking, education, and other problems that can be expressed in linear form. For example, in business the benefits of learning linear programming are determining the minimum value in terms of determining costs while the maximum value in terms of determining profits. Do the investment problem below on a piece of paper or in Ms.Word. Then uploaded on this forum. FullyCharge company considers four types of investment. Capital available for investment is $14,000. NPV of the following investments: Pilihan Investasi 1 2 3 4 fund $5,000 $7,000 $4,000 $3,000 NPV $16,000 $22,000 $12,000 $8,000 FullyCharge Company considers the following “logical” limits: § Choose only 3 investments § If the 2nd investment is selected, then the 1st investment is selected § If the 1st investment is selected, then the 3rd investment is not selected § One of the…The Big Bang Novelty Company (BBNC) makes 3 types of noise?makers: Toot, Wheet, and Honk. A Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 20 minutes, has two feathers, and is sprinkled with 0.5 ounces of sequin powder. The Honk requires 30 minutes, three feathers, and 1 ounce of sequin powder. The unit profits are $0.45 per Toot, $0.55 per Wheet, and $0.70 per Honk. The following resources are available: 80 hours of labor, 360 feathers, and 90 ounces of sequin powder. BBNC would like to maximize the overall profit from the noise-makers. (a) Write the linear programming model. Express labor time in minutes in LP formulationb) Solve using Excel Solver. How much of the resources (labor, feathers, and sequin powder) will be used by the optimal solution? If the availability of labor increases by 10 hours, what is the optimal total profit? If the unit profit of Wheet is actually only $0.30 instead of $0.55, will this change the solution? How many of each…To graduate from Pace University with a major in operations research (OR), a student must complete at least two math courses, at least two OR courses, and at least two computer courses. Some courses can be used to fulfill more than one requirement: Calculus can fulfill the math requirement Operations Research can fulfill the math and OR requirements Data Structures can fulfill the computer and math requirements Business Statistics can fulfill the math and OR requirements Computer Simulation can fulfill the OR and computer requirements Introduction to Computer Programming can fulfill the computer requirement Forecasting can fulfill the OR and math requirements. Complete this template (show all formulas) and use Solver to minimize the number of courses needed to satisfy the major requirements (there could be multiple optimal solutions). Please also paste any Solver window used as well - thanks! I will also attach a screenshot of the excel template for convinience and to help replicate.