Students at Upscale University are required to take at least 4 humanities and 4 science courses. The maximum allowable number of science courses is 12. Eachhumanities course carries 4 credits and each science course 4 credits. The total number of credits in science and humanities cannot exceed 84. Quality points for eachcourse are assigned in the usual way: the number of credit hours times 4 for an A grade, times 3 for a B grade, and times 2 for a C grade. Susan Katz expects to get B'sin all her science courses. She expects to get C's in one-fourth of her humanities courses, B's in one-fourth of them, and A's in the rest. Under these assumptions, howmany courses of each kind should she take in order to earn the maximum possible number of quality points?Susan Katz should take science courses and humanities courses in order to maximize her quality points.

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Answered: Students at Upscale University are…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A clothing manufacturer makes trousers,skirts and blouses.Each trouser requires 20 minutes of cutting time,60 minutes of sewing time and 5 minutes of packaging time.Each skirt requires 15 minutes of cutting time,30 minutes of sewing time and 12 minutes of packaging time.Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting,sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramers Rule, determine how many of each type of clothing should be made to use all available labour hours?
A motel with 60 rooms charges $90 per night for rooms with kitchen facilities and $80 per night for rooms without kitchen facilities. When all rooms are occupied, the nightly revenue is $5260. How many rooms of each kind are there?
A high school dietician is planning menus for the upcoming month. Anew item will be spaghetti with sauce. The dietician wants each serving tocontain at least 10 grams of protein and at least 40 grams of carbohydrates.Spaghetti contains 5 grams of protein and 32 grams of carbohydrates per cup,and the sauce contains 4 grams of protein and 5 grams of carbohydrates percup. For aesthetic reasons, the dietician wants a ratio of spaghetti to sauce to be4:1.Spaghetti costs $0.30 per cup to buy and prepare, and the sauce $0.40 per cupto buy and prepare. The dietician wants to minimize the cost per serving andkeep the calories per serving 330 or less. The sauce contains 100 calories percup, and spaghetti contains 160 calories per cup.Formulate a linear programming model for this problem.
My boss warms up for her trip in switzerland for the winter. He will be lagging three tops over each other and two pair of mittens. If he has fifteen tops and ten pair of mittens, how many ways can he layer up?
a theatre has 800 seats, divided into orchestra, main and balcony. Orchestra seats sell for $40, main fo $30 and balcony for $2. If all the seats are sold revenue to the hteatre s $23,200. If all the main and balcony seats are sold but only half the orchestra seats are sold, the gross revenue os $20,000. How many are there of each kind of seat?
Jamie has just completed her second semester in college. She earned a C in a hour course, a B in a 5 hour course, B in a 4 hour and a B in a 3 hour course. A equals 4 points, B equals 3 points, C equals 3 points, D equals 1 point. What is her grade point average for the semester?

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