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- Question 1 You may produce seven products by consuming three materials. The unit sales price and material consumption of each product are listed in Table 1. For each day, the supply of these three materials are limited. The supply limits are listed in Table 2. For each day, you need to determine the production quantity for each product. Product Price Material 1 Material 2 Material 3 1 100 0 3 10 2 120 5 10 10 3 135 5 3 9 4 90 4 6 3 5 125 8 2 8 6 110 5 2 10 7 105 3 2 7 Table 1: Product information for Problem 1 Material Supply limit 1 100 2 150 3 200 Table 2: Material information for Problem 1 Formulate a linear integer program that generates a feasible production plan to maximize the total profit (which is also the total revenue, as there is no cost in this problem). Then write a computer program…Question 1 A company manufactures two types of boxes, corrugated and ordinary cartons. The boxes undergo two major processes: cutting and pinning operations. The profits per unit are $6 and $4 respectively. Each corrugated box requires 2 minutes for cutting and each carton requires 3 minutes for cutting, whereas each corrugated box requires 2 minutes for pinning and each carton requires 1 minute for pinning. The available cutting time is 120 minutes and total pinning time is 60 minutes. Determine the optimum quantities of the two boxes to maximize the profits. a. Formulate a linear programming model that can be used to determine the quantities of the two boxes that should be produced in order to maximize total profit contribution.b. Graph the feasible region.c. Determine the coordinates of each extreme point.Question 3: A catering company must have the following number of clean napkins available at the beginning of each of the next four days: day 1: 15, day 2: 12, day 3: 18, and day 4: 6. After being used, a napkin can be cleaned by one of two methods: fast service or slow service. Fast service costs $0.10 per napkin, and a napkin cleaned via fast service is available for use the day after it is last used. Slow service costs $0.06 per napkin, and a napkin cleaned via slow service is available two days after they were last used. New napkins can be purchased for a cost of $0.20 per napkin. Part A: Formulate the problem as a minimum cost transportation problem. Part B: Use Excel Solver to solve the problem (provide exact values for all variables and the optimal objective function).
- question 2 Hiring workers A company payshis skilled workers S15 per hour in his departmentassembly tool. semi-skilled workersin that department they earn S9 per hour To the employeestwo of shipments are paid SIO per hour Because of aincrease in orders, the company needs to contractemploy a total of 70 workers in the departments ofassembly and shipping Will pay a total of $760 per hourto these employees. Because of a contract with the unionlaw, twice as many semi-semi-workers should be employed.lified than skilled workers. How manysemi-skilled workers, skilled workers and employees ofshipments should hire the company? Note: Solve by Inverse-Excel # OF SEMI-SKILLED WORKERS # OF SKILLED WORKERS # OF SHIPPING WORKERSQUESTION THREEa) Zambia Breweries has a backlog of 250 crates of Fanta drinks at the end of December. The demand of Fanta drinks is expected to be 400 crates in January, 500 crates in February and 550 crates in March. Each worker can produce 50 crates of drinks per month with regular wage costing the company K10 000 per worker per month. Hiring cost has been calculated to be K25 000 per. Hiring cost has also been calculated to be K50 000 per worker. Backlog cost have been determined to cost the company K250 per worker. There are no cost associated with carrying the inventory. Develop a level of production plan (aggregate plan) and determine the cost. b) Explain why aggregate planning is necessary in production and operation management.c) Define the meaning and what happens at each of these aggregate capacity planning;i) Matching Demand approachii) Level Capacity approach.Question 1. Busch Gardens Sweets is preparing for the Halloween rush. They prepare two sizes of Peanut/Raisin Ghoulish Delight and need to calculate how many bags of deluxe and standard mixes they can produce. • The deluxe mix takes 0.9 of a pound of raisins and 0.4 of a pound of peanuts.• The standard mix takes 0.7 of a pound of raisins and 0.6 of a pound of peanuts.The shop has 100 pounds of raisins and 70 pounds of peanuts. The profit on the deluxe mix is $1.80 and the standard mix profit is $1.60. The owner wants no more than 110 bags of each type prepared. Do not forget the non-negativity constraint and remember that you cannot sell partial bags (whole numbers only). Use Excel Solver Question 2. Take a screenshot (snip tool) of you excel spreadsheet and save it.
- Question #4 - Jerry Smith is thinking about opening a bicycle shop in his hometown. Jerry loves to take his own bike on 50-mile trips with his friends, but he believes that any small business should be started only if there is a good chance of making a profit. Jerry can open a small shop, a large shop, or no shop at all. The profits will depend on the size of the shop and whether the market is favorable or unfavorable for his products. Because there will be a 5-year lease on the building that Jerry is thinking about using, he wants to make sure that he makes the correct decision. Jerry is also thinking about hiring his old marketing professor to conduct a marketing research study. If the study is conducted, the study could be favorable (i.e., predicting a favorable market) or unfavorable (i.e., predicting an unfavorable market). Develop a decision tree for Jerry.Question 1 A A company manufactures two types of boxes, corrugated and ordinary cartons. The boxes undergo two major processes: cutting and pinning operations. The profits per unit are $6 and $4 respectively. Each corrugated box requires 2 minutes for cutting and each carton requires 3 minutesfor cutting, whereas each corrugated box requires 2 minutes for pinning and each carton requires 1 minute for pinning. The available cutting time is 120 minutes and total pinning time is 60 minutes. Determine the optimum quantities of the two boxes to maximize the profits. a. Formulate a linear programming model that can be used to determine the quantities of the two boxes that should be produced in order to maximize total profit contribution b. Graph the feasible region. c. Determine the coordinates of each extreme point. d. What is the optimal solution. e. Solve in excel.Question 2CWD Manufacturing makes three components for sale to refrigeration companies. Thecomponents are processed on two machines: a shaper and a grinder. The times (in minutes)required on each machine are as follows: Machine Component Shaper Grinder 1 6 4 2 4 5 3 4 2 The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than200 units of component 3 can be sold, but up to 1000 units of each of the other components canbe sold. In fact, the company already has orders for 600 units of component 1 that must besatisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. (see image) If there are two possible answers one will suffice. Where necessary a range analysis must be shown.(convert to minutes)a) What is the optimal solution (in words)? b) An additional 4 hours of shaper time became available. Evaluate the effect? Explainc) Two hours of Grinder time was lost. Evaluate the effect? d) An additional…
- Question 2CWD Manufacturing makes three components for sale to refrigeration companies. Thecomponents are processed on two machines: a shaper and a grinder. The times (in minutes)required on each machine are as follows: Machine Component Shaper Grinder 1 6 4 2 4 5 3 4 2 The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than200 units of component 3 can be sold, but up to 1000 units of each of the other components canbe sold. In fact, the company already has orders for 600 units of component 1 that must besatisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. (see image) If there are two possible answers one will suffice. Where necessary a range analysis must be shown.(convert to minutes)a) What is the optimal solution (in words)? b) An additional 4 hours of shaper time became available. Evaluate the effect? Explainc) Two hours of Grinder time was lost. Evaluate the effect? d) An additional…Question 1: A company that runs a chain of beauty parlours across India and also retails make-up, has defined its core competencies as value creation for the customer, commitment to product quality and professionalism. Identify at least 3 micro competencies under each of the above, which all employees need to exhibit and explain the relevance of each. Question: 2 Tarun is the Business Head for a hardware manufacturing company. Som is the Production Head, in the same salary band as Tarun. How do their roles differ? What are the similarities in their roles?Question: Courtesy Calls makes telephone calls for businesses and charities. A profit of $0.50 is made for each business call and $0.40 for each charity call. It takes 4 min (on average) to make a business call and 6 min (on average) to make a charity call. If there are 240 min of calling time to be distributed each day, how should that time be spent so that Courtesy Calls makes a maximum profit? What changes, if any, occur in the maximum profit and optimal production policy if they must make at least 12 business and 10 charity calls every day?