Based on 3.8 problem 7: Eli Daisy uses chemicals 1 and 2 to produce two drugs. Drug 1 must be at least 70% chemical 1, and Drug 2 must be at least 60% chemical 2. Up to 112 oz of Drug 1 can be sold at $8 per oz; up to 84 oz of Drug 2 can be sold at $6 per oz. Up to 126 oz of chemical 1 can be purchased at $5 per oz, and up to 110 oz of chemical 2 can be purchased at $4 per oz. Formulate an LP that can be used to maximize profits. Suggestion for one decision variable: x12 for oz of Chem1 in Drug 2 What is the (value of the) optimal profit? z = How much of Drug 1 will be produced? How much of Chemical 2 will be purchased?
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- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.Thomas has eight horses averaging 1,400 pounds. They are on 20 acres of orchard grass and clover. Each year, Thomas applied 30-30-30 units of fertilizer per acre using 46-0-0 urea at $408 per ton, 18-46-0 DAP at $496 per ton, and 0-0-60 muriate of potash at $506 per ton. He reseeded with 10 pounds per acre of orchard grass at $1.19 per pound and 2 pounds per acre of clover at $3.18 per pound. The horses are housed in a barn 34 feet wide with stalls 12 by 12 feet on each side and a 10-foot aisle down the center. He needs at least one fifth of the barn, not including the center, for hay and tack room. What did it cost to fertilize and reseed the pasture? How long must he barn be in even number of feet?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…
- ) Creative Sports Design (CSD) manufactures a standard-size racket and an oversize racket.The firm’s rackets are extremely light due to the use of a magnesium-graphite alloy that wasinvented by the firm’s founder. Each standard-size racket uses 0.125 kilograms of the alloy andeach oversize racket uses 0.4 kilograms; over the next two-week production period only 80kilograms of the alloy are available. Each standard-size racket uses 10 minutes of manufacturingtime and each oversize racket uses 12 minutes. The profit contributions are $10 for eachstandard-size racket and $15 for each oversize racket, and 40 hours of manufacturing time areavailable each week. Management specified that at least 20% of the total production must be thestandard-size racket. How many rackets of each type should CSD manufacture over the next twoweeks to maximize the total profit contribution? Assume that because of the unique nature oftheir products, CSD can sell as many rackets as they can produce.There are approximately 15,000 households in Sampaloc, Manila.Over the 6-month lockdown, a number of households purchased one (1) unit of the air conditioner. TheThe breakdown of the brands purchased is as follows:1. Super Lamig - 4,688 households2. Frozen to Death - 1,456 households3. Feeling Airy - 2,355 households4. Typhoon - 3,899 householdsBased on the above data, what is the market penetration of air conditioning units in Sampaloc, Manila during the 6-month lockdown period?(a) Determine the amount of potatoes and green beans Maria should purchase each week for the casserole to minimize the ingredient costs while meeting nutritional, taste, and demand requirements. Before she makes her final decision, Maria plans to explore the following questions independently except where otherwise indicated. (b) Maria is not very concerned about the taste of the casserole; she is only concerned about meeting nutritional requirements and cutting costs. She therefore forces Edson to change the recipe to allow for only at least a one to two ratio in the weight of potatoes to green beans. Given the new recipe, determine the amount of potatoes and green beans Maria should purchase each week. (c) Maria decides to lower the iron requirement to 65 mg since she determines that the other ingredients, such as the onions and cream of mushroom soup, also provide iron. Determine the amount of potatoes and green beans Maria should purchase each week given this new iron…
- The following table contains the steps used to create a compliance program under the U.S. Sentencing Commission Guidelines for Organizations. Identify the order in which the steps are usually taken. Compliance Program Step Encourage employees to report violations. Establish standards and procedures. Improve program after violations. Assign upper-level managers to be in charge. Train employees on standards and procedures. Delegate decision-making authority only to ethical employees. Enforce standards consistently and fairly. OrderJanice Brown is employed by Starport Hardware Limited as a store clerk. One day she was inthe store arranging some items on a top shelf, the ladder she was standing on collapsed and shesuffered a broken arm and leg. The doctor told her that she had to a major surgery and it wouldtake approximately three months for her to heal enough to return to work. She is very concernedabout how she would pay her medical and recurring bills during this period. Her colleaguevisited her a week after the accident and told her about workers compensation. She is unsureabout the concepts and seeks your help to answer certain questions. A. Explain the concept ‘workers compensation’ B. Discuss the main objectives of workers compensation.C. Explain to Janice how workers compensation can assist her.D. Self-insurance is connected to workers compensation. State what isself -insurance and outline three advantages of it.This pandemic, Abheedette learned to bake while on home quarantine. She also realized that she will be able to make P60.00 profit per tray of banana muffins and P120.00 profit per tray of blueberry muffins. She needs 2 cups of milk and 3 cups of flour to bake a tray of banana muffins. And, baking a tray of blueberry muffins takes 4 cups of milk and 3 cups of flour. She has 16 cups of milk and 15 cups of flour. How many trays of each flavor must be baked to maximize the profit? a. Define the variable used: b. LP Model: c. Identify the feasible region: d. Corner Points and the objective functions: Corner Points Value of the objective function e. Optimal Solution
- A company plans to manufacture a product and sell it for $3.00 per unit. Equipment to manufacture the product will cost $250,000 and will have a net salvage value of $12,000 at the end of its estimated economic life of 15 years. The equipment can manufacture up to 2,000,000 units per year. Direct labour costs are $o.25 per unit, direct material costs are $0.85 per unit, variable administrative and selling expenses are $0.25 per unit, and fixed overhead costs are $200,000. What is the number of units that the company must manufacture in order to breakeven?There are often disputed charges on a guest's folio (bill). Some are legit, for example room service billed the wrong room. However, how would you handle the following guest disputes and why: 1-The guest disputes $200 in phone charges because he thought it was a toll-free number. 2-The guest disputes paying $30 for parking because they feel it is unreasonable, especially when the hotel isn't even full and parking is outside. 3-The guest objects to the room service charge because the food was awful and they didn't finish it.Describe how a manager who derives satisfaction from both income and shirking allocates a 10-hour day between these activities when paid an annual, fixed salary of $100,000. When this same manager is given an annual, fixed salary of $100,000 and 4 percent of the firm’s profits—amounting to $130,000 per year—the manager chooses to work eight hours and shirks for two hours. Explain which of the compensation schemes the manager prefers