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- Note: Exercises preceded by an asterisk are of a more challenging nature. Given:OwithOECDCD=OCFind:mCFCholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.The Porsche Club of America sponsors driver education events that provide highperformance driving instruction on actual racetracks. Because safety is a primary consideration at such events, many owners elect to install roll bars in their cars. DeeganIndustries manufactures two types of roll bars for Porsches. Model DRB is bolted to thecar using existing holes in the car’s frame. Model DRW is a heavier roll bar that must bewelded to the car’s frame. Model DRB requires 20 pounds of a special high-alloy steel, 40minutes of manufacturing time, and 60 minutes of assembly time. Model DRW requires25 pounds of the special high-alloy steel, 100 minutes of manufacturing time, and 40minutes of assembly time. Deegan’s steel supplier indicated that at most 40,000 poundsof the high-alloy steel will be available next quarter. In addition, Deegan estimates that2000 hours of manufacturing time and 1600 hours of assembly time will be available nextquarter. The profit contributions are $200 per unit for…
- A farmer wants to start raising cows, horses, goats, and sheep and desires to have a rectangular pasture for the animals to graze in. However, no two different kinds of animals can graze together. In order to minimize the amount of fencing she will need, she has decided to enclose a large rectangular area and then divide it into four equally sized pens by adding three segments of fence inside the large rectangle that are parallel to two existing sides (see attached image). She has decided to purchase 7500 ft of fencing. What is the maximum possible area that each of the four pens will enclose? Make sure to include units in your answer.Based on Angel et al. (2003). A fertilizer companyis trying to determine the cheapest fertilizer mix thatprovides desired amounts of nutrients. The mix ismade by combining the following fertilizers: SSA,SPO, GUR, TSP, KCI, FERT, and SPF. The mix cannot contain both GUR and TSP. The percentage ofpotassium (K), sulfur (S), calcium (Ca), sodium (Na)and phosphorus (P) in each fertilizer is listed in the fileP06_88.xlsx. For example, a pound of SSA is 16% Kand 26% Na. The mix must contain at least 600 poundsof K, 550 pounds of S, 750 pounds of Ca, 900 poundsof Na, and 750 pounds of P. The mix cannot containboth GUR and TSP, because if both are present in themix, the affect of other fertilizers is nullified. The costper pound (in cents) of each fertilizer is listed in thesame file. Develop a linear integer model to find theminimum-cost fertilizer mixture that meets the statedchemical requirements.PM.346.HSF1 The Practice of Project Management Answer NPV below Background Joseph-McHendry Purveyors, Ltd. (JMP) is an international retailer of fine collectibles and bibelots, including authentic antiques, objets d'art (paintings, sculptures, etc.) and expensive jewelry. It operates on a world-wide basis, with over twenty outlets in various developed countries, and is headquartered in San Francisco. JMP has an excellent reputation, and is known in the industry for its quality, honesty and providing "the personal touch." Much like Nordstrom, JMP charges a premium for the products; but their clientele believe that they are getting their money's worth! Revenues for this past year exceeded $800 M. The firm's organization is essentially functional, with a product orientation. Major departments include Marketing, Finance and Accounting, Human Resources, Information Technology, Purchasing, Collectibles and Jewelry. One of the founders, Cyril Joseph, died several years ago,…
- An area or topic of research that has not been approached by any researcher is known as ______; a. Significance of the study b. Research problem c. None of the above d. Research gapIt is often said that the economy of Arizona depends on the “Five C’s”: Copper, Cattle, Cotton, Citrus, andClimate. Assume a (highly simplified) model of the Arizona Economy that depends only on C1, C2, C3, C4,and C5, which represent the number of economic units (pennies, pounds, etc) purchased of each of the FiveC’s, respectively. Further assume that the Utility, or Economic Value (which is different from DollarValue), can be described by the function:U(C1, C2, C3, C4, C5) = C1∙C2∙C3∙C4∙C5As a mathematical function, does U have a maximum or minimum value? What values of Ci correspond tothe minimum value of U? What values of Ci correspond to the maximum value of U? Do these values of Cimake sense from an economic standpoint?Sebuah kereta api bertolak dari bandar A ke bandar B yang jauhnya 2x km. Kereta api itu mengambil masa 1- jam untuk perjalanan 2 tersebut. Diberi bahawa purata laju kereta api ialah (x + 20) km j', cari jarak antara bandar A dan B. A train travels from town A to town B which is 2x 1 km away. The train took 1- hours to complete the journey. Given that the average speed of the train is (x+ 20) km h', find the distance between towns A and B. A
- The chart below gives price and fuel efficiency for the Ford Escape, a small SUVs with conventional or hybrid engines from a web search on February 21, 2022. Car Model Price Average Mileage (mpg) Ford Escape S model (conventional) $26,510 28 city/ 34 highway Ford Escape SE (hybrid) $29,170 44 city/ 37 highway What is the annual cost to drive the conventional Ford Escape for 10,000 miles (5,000 city driving and 5,000 highway) if gas costs $3.57 per gallon? What is the annual cost to drive the hybrid model Ford Escape for 10,000 miles (5,000 city driving and 5,000 highway) if gas costs $3.57 per gallon? How much money would you save annually if you bought the hybrid model instead of the conventional Ford Escape, assuming you drove 10,000 miles each year? How many years of driving the more fuel-efficient hybrid would it take for you to make up difference in its higher sticker price over the price of the conventional model?17. The Porsche Club of America sponsors driver education events that provide high- performance driving instruction on actual racetracks. Because safety is a primary con- sideration at such events, many owners elect to install roll bars in their cars. Deegan Industries manufactures two types of roll bars for Porsches. Model DRB is bolted to the car using existing holes in the car’s frame. Model DRW is a heavier roll bar that must be welded to the car’s frame. Model DRB requires 20 pounds of a special high-alloy steel, 40 minutes of manufacturing time, and 60 minutes of assembly time. Model DRW requires 25 pounds of the special high-alloy steel, 100 minutes of manufacturing time, and 40 minutes of assembly time. Deegan’s steel supplier indicated that at most 40,000 pounds of the high-alloy steel will be available next quarter. In addition, Deegan estimates that 2000 hours of manufacturing time and 1600 hours of assembly time will be available next quarter. The profit contributions are…Describe the bounds, limitations, requirements, proportional relationships, and balance constraints: Holcomb Candles, Inc., manufactures decorative candles and has contracted with a national retailer to supply a set of special holiday candles to its 8,500 stores. These include large jars, small jars, large pillars, small pillars, and a package of four votive candles. In negotiating the contract for the display, the manufacturer and retailer agreed that 8 feet would be designated for the display in each store, but that at least 2 feet would be dedicated to large jars and large pillars, and at least 1 foot, to the votive candle packages. At least as many jars as pillars must be provided. The manufacturer has obtained 200,000 pounds of wax, 250,000 feet of wick, and 100,000 ounces of holiday fragrance. The amount of materials and display size required for each product are shown in the following table:
