a)Formulate the problem as a linear programming model. b )Solve the problem graphically. What is the maximum profit?
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A manufacturer produces two types of calculators, business calculators and scientific calculators. Each business calculator requires 3 circuit boards and 4 hours of assembly time while the scientific calculator requires 2 circuit boards and 1 hour of assembly time. The profit of each business calculator and scientific calculator are RM12 and RM20 respectively. The company produces its own circuit boards and the capacity is 60 per week. Currently the company has 72 hours of assembly time per week. The company wishes to maximize profit:
a)Formulate the problem as a linear programming model.
b )Solve the problem graphically. What is the maximum profit?
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- Machine A costs Rs 45,000 and its operating costs are estimated to be Rs 1,000 for the first year increasing by Rs 10,000 per year in the second and subsequent years.Machine B costs Rs 50,000 and operating costs are Rs 2,000 for the first year, increasing by Rs 4,000 in the second and subsequent years.If at present we have a machine of type A, should we replace it with B? if so when?Assume that both machines have no resale value and their future costs are not discounted.4) The making of rivet holes in structural steel members can be done by 2 methods. The first method consists of laying out the position of the holes in the members and using a drill press costing P100k. The machinist is paid P60 per hour and he can drill 80 holes per hour. The second method makes use of a multiple-punch machine costing P80k. The punch operator is paid P40 an hour and he can punch out 1 hole for 3 seconds. This method also requires an expense of P1.25 per hole to set the machine. (a) if all other costs are assumed equal, what is the total cost for each machine for 10k holes, assuming the total cost of each machine to be charged to these holes? (b) for how many holes will the costs be equal?Alice, Wonder, and Land are freshmen under the marketing management program. Every month, they purchase a piece of Panda ballpen. The price of the ball pen is Php9.50.According to a recent survey, 45% of the marketing freshmen have the samepurchasing behavior as Alice, Wonder, and Land. Another 30% also purchase Panda ballpens regularly at the same price; however, they purchase once every 2 weeks. There are approximately 280 freshmen under the marketing management program. Assuming that the behavior is consistent throughout their 4-year stay in the program, what is the approximate projected revenue that can be generated from the marketing freshmen for the entire duration of their stay in the program?
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- NO. 5 Jenny Company produces two types of pants: long pants and short pants. The cost of making a pair of short pants and a pair of long pants are RM 75 and RM 95 respectively. In one week, the company must produce at least 150 pants of cach type. The minimum weekly production is 500 pants. The short pants is sold for RM 120 cach and the long pants for RM 150 cach. Using the graphical method, find: a) The number of short pants and long pants to be made in a week in order to minimize the total production cost. b) The profit made at the minimum weekly production cost.Kofi Abebrese runs a small industrial company that specialize in the production of high standard windows for housing estates. A worker is paid GHC0.9 per hour and can produce two window with an hour. Each window uses a frame costing GHC1 and incur a variable overheads of GHC0.7. Each window sells for GH¢3. Currently, due to the economic condition, work is rather slack and three employees are occupied in carrying out extensive repairs to Kofi Abebrese's own house. Kofi owns a warehouse next to the factory, which had been used as a factory store, in the past. It is now let out on a renewable annual lease of GHC600. A new building company, Allied Consult, which specializes in the production of prefabricated houses has asked Kofi if he would be interested in accepting a contract for GHC30,000 which will be for a year initially, to produced molded internal building sections. Kofi estimates that, the contract will take 13,200 hours of works, or the work of five men for a year, and that…There is an upstream Picking department that feeds two downstream Packing departments: Pack Singles and Pack Multis. Those Packing departments feed to a Shipping department that loads the outgoing trucks. 40% of your Pick volume goes to Pack Singles and has a packing rate of 104 units per labor hour (uph). 60% of the Pick volume goes to Pack Multis and has a pack rate of 215 units per labor hour. Your pickers pick both Single and Multi items throughout the day at an overall average rate of 114 units per labor hour. All units that are packed in both processes go through the Ship process at a rate of 570 units per hour. You have 102 people today for all 4 departments and you absolutely must pack 47,880 units in Pack Multis Items to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer. Redirect 1: You now need to process all of the Pack Singles Volume in the first 5…
- Digital Controis, Inc. (DCI), manufactures two models of a radar gun used by police to monitor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas the smaller model B has an accuracy of plus or minus 3 miles per hour. For the next week, the company has orders for 100 units of model A and 150 units of model B. Although DCI purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a DCI plant in Newark, New Jersey. Each model A case requires 4 minutes of injection-molding time and 6 minutes of assembly time. Each model B case requires 3 minutes of injection-molding time and 8 minutes of assembly time. For next week, the Newark plant has 600 minutes of injection-molding time avallable and 1,080 minutes of assembly time availab The manufacturing cost is $10 per case for model A and $6 per case for model B. Depending upon demand and the time avalable at the Newark plant, DCI occasionally…The ore of a gold mine in the Mountain Province contains, on the average, 2 gram of gold perton. One method of processing cost ₱1,800.00 per ton and recovers 90% of the gold, whileanother method cost only ₱1,400.00 per ton and recovers 85% of the gold. If the gold can besold at ₱8,000.00 per gram, which method is better and by how much?Design capacity is the ability of the company to produce the quantity of goods and services within a particular period of time when the company have best condition to produce and when the company have unlimited resources. These resource's includes- Men, Machinery, Material etc. It shows the maximum capacity of the company to produce. Effective capacity refers to the ability of the company to produce maximum quantity within a particular period of time to achieve in current production condition and current resources. It shows the real outcome capacity of the firm when the company produce within their own current condition of their production. Question Why is the capacity design important?