College Algebra
10th Edition
ISBN: 9781337282291
Author: Ron Larson
Publisher: Cengage Learning
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Textbook Question
Chapter 6, Problem 17PS
Cholesterol 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
(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:
HDL:
Total:
(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.
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Chapter 6 Solutions
College Algebra
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Writing the Form of the Decomposition In Exercises...Ch. 6.4 - Writing the Form of the Decomposition In Exercises...Ch. 6.4 - Writing the Form of the Decomposition In Exercises...Ch. 6.4 - Prob. 14ECh. 6.4 - Writing the Form of the Decomposition In Exercises...Ch. 6.4 - Prob. 16ECh. 6.4 - Writing the Partial Fraction Decomposition In...Ch. 6.4 - Prob. 18ECh. 6.4 - Writing the Partial Fraction Decomposition In...Ch. 6.4 - Prob. 20ECh. 6.4 - Writing the Partial Fraction Decomposition In...Ch. 6.4 - Prob. 22ECh. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Prob. 28ECh. 6.4 - Prob. 29ECh. 6.4 - Prob. 30ECh. 6.4 - Prob. 31ECh. 6.4 - Prob. 32ECh. 6.4 - Prob. 33ECh. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Prob. 37ECh. 6.4 - Prob. 38ECh. 6.4 - Prob. 39ECh. 6.4 - Prob. 40ECh. 6.4 - Prob. 41ECh. 6.4 - Prob. 42ECh. 6.4 - Prob. 43ECh. 6.4 - Prob. 44ECh. 6.4 - Prob. 45ECh. 6.4 - Prob. 46ECh. 6.4 - Prob. 47ECh. 6.4 - Prob. 48ECh. 6.4 - 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Prob. 60ECh. 6.5 - Prob. 61ECh. 6.5 - Prob. 62ECh. 6.5 - Prob. 63ECh. 6.5 - Ticket Sales For a concert event, there are $30...Ch. 6.5 - Production A furniture company produces tables and...Ch. 6.5 - Prob. 66ECh. 6.5 - Nutrition A dietician prescribes a special dietary...Ch. 6.5 - Prob. 68ECh. 6.5 - Shipping A warehouse supervisor has instructions...Ch. 6.5 - Physical Fitness Facility A physical fitness...Ch. 6.5 - Prob. 71ECh. 6.5 - Prob. 72ECh. 6.5 - Prob. 73ECh. 6.5 - Prob. 74ECh. 6.5 - Matching Match the system of inequalities with the...Ch. 6.5 - Prob. 76ECh. 6.6 - Find the maximum value of z=4x+5y subject to the...Ch. 6.6 - Find the minimum value of z=12x+8y Where x0 and...Ch. 6.6 - Find the maximum value of z=12x+8y Where x0 and...Ch. 6.6 - Find the minimum value of z=3x+7y Where x0 and y0,...Ch. 6.6 - In Example 5, the candy manufacturer improves the...Ch. 6.6 - Prob. 6ECPCh. 6.6 - Prob. 1ECh. 6.6 - Prob. 2ECh. 6.6 - Prob. 3ECh. 6.6 - Prob. 4ECh. 6.6 - Prob. 5ECh. 6.6 - Prob. 6ECh. 6.6 - Prob. 7ECh. 6.6 - Prob. 8ECh. 6.6 - Prob. 9ECh. 6.6 - Prob. 10ECh. 6.6 - Prob. 11ECh. 6.6 - Prob. 12ECh. 6.6 - Prob. 13ECh. 6.6 - Solving a Linear Programming Problem In Exercises...Ch. 6.6 - Prob. 15ECh. 6.6 - Prob. 16ECh. 6.6 - Prob. 17ECh. 6.6 - Prob. 18ECh. 6.6 - Prob. 19ECh. 6.6 - Prob. 20ECh. 6.6 - Prob. 21ECh. 6.6 - Prob. 22ECh. 6.6 - Prob. 23ECh. 6.6 - Prob. 24ECh. 6.6 - Prob. 25ECh. 6.6 - Prob. 26ECh. 6.6 - Prob. 27ECh. 6.6 - Prob. 28ECh. 6.6 - Prob. 29ECh. 6.6 - Prob. 30ECh. 6.6 - Prob. 31ECh. 6.6 - Prob. 32ECh. 6.6 - Prob. 33ECh. 6.6 - Prob. 34ECh. 6.6 - Prob. 35ECh. 6.6 - Prob. 36ECh. 6.6 - Optimal Profit A merchant plans to sell two models...Ch. 6.6 - Optimal Profit A manufacturer produces two models...Ch. 6.6 - Optimal Cost A public aquarium is adding coral...Ch. 6.6 - Optimal Labor A manufacturer has two different...Ch. 6.6 - Optimal Revenue An accounting firm has 780 hours...Ch. 6.6 - Prob. 42ECh. 6.6 - Agriculture A fruit grower raises crops A and B....Ch. 6.6 - Prob. 44ECh. 6.6 - 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Finding the Equilibrium Point In Exercises 33 and...Ch. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Agriculture A mixture of 6 gallons of chemical A,...Ch. 6 - Sports The Old Course at St Andrews Links in St...Ch. 6 - Investment An inheritance of $40,000 is divided...Ch. 6 - Investment An amount of $46,000 is divided among...Ch. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - Prob. 63RECh. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 - Prob. 67RECh. 6 - Prob. 68RECh. 6 - Prob. 69RECh. 6 - Prob. 70RECh. 6 - Prob. 71RECh. 6 - Prob. 72RECh. 6 - Prob. 73RECh. 6 - Prob. 74RECh. 6 - Prob. 75RECh. 6 - Prob. 76RECh. 6 - Prob. 77RECh. 6 - Prob. 78RECh. 6 - Prob. 79RECh. 6 - Prob. 80RECh. 6 - Geometry Write a system of inequalities to...Ch. 6 - Prob. 82RECh. 6 - Consumer Surplus and Producer Surplus In Exercises...Ch. 6 - Consumer Surplus and Producer Surplus In Exercises...Ch. 6 - Inventory Costs A warehouse operator has 24,000...Ch. 6 - Prob. 86RECh. 6 - Prob. 87RECh. 6 - Prob. 88RECh. 6 - Prob. 89RECh. 6 - Prob. 90RECh. 6 - Prob. 91RECh. 6 - Optimal Profit A manufacturer produces two models...Ch. 6 - Prob. 93RECh. 6 - Prob. 94RECh. 6 - Prob. 95RECh. 6 - Prob. 96RECh. 6 - Prob. 97RECh. 6 - Prob. 98RECh. 6 - Prob. 99RECh. 6 - Prob. 100RECh. 6 - Prob. 101RECh. 6 - Prob. 102RECh. 6 - Prob. 103RECh. 6 - Prob. 104RECh. 6 - In Exercises 1-3, solve the system of equations by...Ch. 6 - In Exercises 1-3, solve the system of equations by...Ch. 6 - Prob. 4TCh. 6 - In Exercises 4-6, solve the system of equations...Ch. 6 - Prob. 6TCh. 6 - In Exercises 7 and 8, solve the system of...Ch. 6 - Prob. 8TCh. 6 - In Exercises 9 and 10, solve the system of linear...Ch. 6 - Prob. 10TCh. 6 - In Exercises 11-14, write the partial fraction...Ch. 6 - Prob. 12TCh. 6 - In Exercises 11-14, write the partial fraction...Ch. 6 - Prob. 14TCh. 6 - In Exercises 15-17, sketch the graph of the...Ch. 6 - Prob. 16TCh. 6 - In Exercises 15-17, sketch the graph of the...Ch. 6 - Prob. 18TCh. 6 - A total of $50,000 is invested in two funds that...Ch. 6 - Prob. 20TCh. 6 - A manufacturer produces two models of television...Ch. 6 - Prob. 1PSCh. 6 - Prob. 2PSCh. 6 - Prob. 3PSCh. 6 - Prob. 4PSCh. 6 - Prob. 5PSCh. 6 - Prob. 6PSCh. 6 - Prob. 7PSCh. 6 - Prob. 8PSCh. 6 - Prob. 9PSCh. 6 - Prob. 10PSCh. 6 - Prob. 11PSCh. 6 - Prob. 12PSCh. 6 - Prob. 13PSCh. 6 - Prob. 14PSCh. 6 - Biology Each day, an average adult moose can...Ch. 6 - Height and Weight For a healthy person who is 4...Ch. 6 - Cholesterol Cholesterol in human blood is...
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- > co LO -6 -5 -4 4 do 3 3 2 1 Τ O 1 3 4 5 --6- -CO 6arrow_forwardx/x-2 + 3/x-4arrow_forwardQ1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N then dim M = dim N but the converse need not to be true. B: Let A and B two balanced subsets of a linear space X, show that whether An B and AUB are balanced sets or nor verly A:LeLM be a subset of a linear space X, show that M is a hyperplane of X iff there exists fe X'/[0] and a EF such that M = {x Ex/f(x) = = a}. B:Show that every two norms on finite dimension linear space are equivalent C: Let f be a linear function from a normed space X in to a normed space Y, show that continuous at x, EX iff for any sequence (x) in X converge to x, then the sequence (f(x)) converge to (f(x)) in Y.arrow_forward
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