FINITE MATHEMATICS & ITS APPLICATIONS
12th Edition
ISBN: 9781323788707
Author: Goldstein
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 3, Problem 11RE
To determine
To calculate: The amount of Portia should invest in each investment vehicle to maximize her total expected yield and Portia has to invest $10,000.So, she is considering a certificate of deposit (CD) that is expected to yield 5%, a mutual fund expected to yield 7%, and stocks expected to yield 9% on the amount invested in the mutual fund can be no more than the amount invested in the CD and stocks together. The amount availability to invest in the mutual fund and stocks must not be more than $8000.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Calculus lll
May I please have the solutions for the following examples? Thank you
Calculus lll
May I please have the solutions for the following exercises that are blank?
Thank you
The graph of
2(x² + y²)² = 25 (x²-y²), shown
in the figure, is a lemniscate of
Bernoulli. Find the equation of the
tangent line at the point (3,1).
-10
Write the expression for the slope in terms of x and y.
slope =
4x³ + 4xy2-25x
2
3
4x²y + 4y³ + 25y
Write the equation for the line tangent to the point (3,1).
LV
Q
+
Chapter 3 Solutions
FINITE MATHEMATICS & ITS APPLICATIONS
Ch. 3.1 - Graph the inequality 3xy3.Ch. 3.1 - Graph the feasible set for the system of...Ch. 3.1 - In Exercises 1-4, state whether the inequality is...Ch. 3.1 - In Exercises 1-4, state whether the inequality is...Ch. 3.1 - In Exercises 1-4, state whether the inequality is...Ch. 3.1 - In Exercises 1-4, state whether the inequality is...Ch. 3.1 - In Exercises 5-7, solve for x, 2x53Ch. 3.1 - Prob. 6ECh. 3.1 - In Exercises 5-7, solve for x,
7.
Ch. 3.1 - Which of the following results from solving x+13...
Ch. 3.1 - Prob. 9ECh. 3.1 - In Exercises 9-14, write the linear inequality in...Ch. 3.1 - In Exercises 9-14, write the linear inequality in...Ch. 3.1 - In Exercises 9-14, write the linear inequality in...Ch. 3.1 - In Exercises 9-14, write the linear inequality in...Ch. 3.1 - In Exercises 9-14, write the linear inequality in...Ch. 3.1 - In Exercises 15-22, determine whether or not the...Ch. 3.1 - In Exercises 15-22, determine whether or not the...Ch. 3.1 - In Exercises 15-22, determine whether or not the...Ch. 3.1 - In Exercises 15-22, determine whether or not the...Ch. 3.1 - In Exercises 15-22, determine whether or not the...Ch. 3.1 - In Exercises 15-22, determine whether or not the...Ch. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - In Exercises 23-26, graph the given inequality by...Ch. 3.1 - In Exercises 23-26, graph the given inequality by...Ch. 3.1 - Prob. 25ECh. 3.1 - In Exercises 23-26, graph the given inequality by...Ch. 3.1 - In Exercises 27-30, give the linear inequality...Ch. 3.1 - In Exercises 27-30, give the linear inequality...Ch. 3.1 - In Exercises 27-30, give the linear inequality...Ch. 3.1 - In Exercises 27-30, give the linear inequality...Ch. 3.1 - In Exercises 31-42, graph the given inequality....Ch. 3.1 - In Exercises 31-42, graph the given...Ch. 3.1 - In Exercises 31-42, graph the given inequality. x2Ch. 3.1 - In Exercises 31-42, graph the given inequality. x0Ch. 3.1 - In Exercises 31-42, graph the given...Ch. 3.1 - In Exercises 31-42, graph the given inequality....Ch. 3.1 - In Exercises 31-42, graph the given inequality....Ch. 3.1 - In Exercises 31-42, graph the given...Ch. 3.1 - In Exercises 31-42, graph the given inequality....Ch. 3.1 - In Exercises 31-42, graph the given...Ch. 3.1 - In Exercises 31-42, graph the given inequality....Ch. 3.1 - In Exercises 31-42, graph the given inequality....Ch. 3.1 - In Exercises 43-48, graph the feasible set for the...Ch. 3.1 - In Exercises 43-48, graph the feasible set for the...Ch. 3.1 - In Exercises 43-48, graph the feasible set for the...Ch. 3.1 - In Exercises 43-48, graph the feasible set for the...Ch. 3.1 - In Exercises 43-48, graph the feasible set for the...Ch. 3.1 - In Exercises 43-48, graph the feasible set for the...Ch. 3.1 - In Exercises 49-52, determine whether the given...Ch. 3.1 - In Exercises 49-52, determine whether the given...Ch. 3.1 - In Exercises 49-52, determine whether the given...Ch. 3.1 - In Exercises 49-52, determine whether the given...Ch. 3.1 - In Exercises 52-56, determine whether the given...Ch. 3.1 - In Exercises 52-56, determine whether the given...Ch. 3.1 - In Exercises 52-56, determine whether the given...Ch. 3.1 - In Exercises 52-56, determine whether the given...Ch. 3.1 - Give a system of inequalities for which the graph...Ch. 3.1 - The shaded region in Fig. 9 is bounded by four...Ch. 3.1 - The shaded region in Fig. 10 is bounded by four...Ch. 3.1 - Which quadrant if Fig. 11 contains no points that...Ch. 3.1 - Graph the line 4x2y=7. (a) Locate the point on the...Ch. 3.1 - 62. Graph the line
(a) Locate the point on the...Ch. 3.1 - Display the feasible set in Exercise 47.Ch. 3.1 - Display the feasible set in Exercise 48.Ch. 3.2 - 1. Determine whether the following points are in...Ch. 3.2 - A physical fitness enthusiast decides to devote...Ch. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - In Exercises 14, determine whether the given point...Ch. 3.2 - Prob. 4ECh. 3.2 - Manufacturing Consider the furniture manufacturing...Ch. 3.2 - 6. Manufacturing Consider the furniture...Ch. 3.2 - Packaging Joes Confectionary puts together two...Ch. 3.2 - Nutrition-Animal Mr. Holloway decides to feed his...Ch. 3.2 - Shipping A truck traveling from New York to...Ch. 3.2 - 10. Mining A coal company owns mines in two...Ch. 3.2 - 11. Exam Strategy A student is taking an exam...Ch. 3.2 - 12. Political Campaign—Resource Allocation A local...Ch. 3.2 - Nutrition-Dairy Cows A dairy farmer concludes that...Ch. 3.2 - Manufacturing-Resource Allocation A clothing...Ch. 3.3 - The feasible set for the nutrition problem of...Ch. 3.3 - 2. Rework the nutrition problem, assuming that...Ch. 3.3 - For each of the feasible sets in Exercises 1–4,...Ch. 3.3 - For each of the feasible sets in Exercises 14,...Ch. 3.3 - For each of the feasible sets in Exercises 14,...Ch. 3.3 - Prob. 4ECh. 3.3 - In Exercises 58, find the values of x and y that...Ch. 3.3 - In Exercises 58, find the values of x and y that...Ch. 3.3 - In Exercises 58, find the values of x and y that...Ch. 3.3 - In Exercises 5–8, find the values of x and y that...Ch. 3.3 - In Exercises 9–12, find the values of x and y that...Ch. 3.3 - In Exercises 9–12, find the values of x and y that...Ch. 3.3 - In Exercises 9–12, find the values of x and y that...Ch. 3.3 - In Exercises 9–12, find the values of x and y that...Ch. 3.3 - 13. Nutrition—People Consider the nutrition...Ch. 3.3 - 14. Nutrition—People Consider the nutrition...Ch. 3.3 - 15. Packaging Refer to Exercises 3.2, Problem 7....Ch. 3.3 - Nutrition-Animal Refer to Exercises 3.2, Problem...Ch. 3.3 - 17. Shipping Refer to Exercises 3.2, Problem 9....Ch. 3.3 - 18. Mining Refer to Exercises 3.2, Problem 10....Ch. 3.3 - Exam Strategy Refer to Exercises 3.2, Problem 11....Ch. 3.3 - Political Campaign-Resource Allocation Refer to...Ch. 3.3 - 21. Nutrition—Dairy Cows Refer to Exercises 3.2,...Ch. 3.3 - Manufacturing-Resource Allocation Refer to...Ch. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - In Exercises 25–32, find the optimal value for the...Ch. 3.3 - In Exercises 25–32, find the optimal value for the...Ch. 3.3 - In Exercises 2532, find the optimal value for the...Ch. 3.3 - In Exercises 25–32, find the optimal value for the...Ch. 3.3 - In Exercises 25–32, find the optimal value for the...Ch. 3.3 - In Exercises 25–32, find the optimal value for the...Ch. 3.3 - In Exercises 2532, find the optimal value for the...Ch. 3.3 - In Exercises 25–32, find the optimal value for the...Ch. 3.3 - 33. Manufacturing—Resource Allocation Infotron,...Ch. 3.3 - 34. Manufacturing—Production Planning An...Ch. 3.3 - Agriculture-Crop Planning A farmer has 100 acres...Ch. 3.3 - 36. Manufacturing—Resource Allocation A company...Ch. 3.3 - 37. Manufacturing The E-JEM Company produces two...Ch. 3.3 - Refining A refinery has two smelters that extract...Ch. 3.3 - 39. Nutrition—People A nutritionist, working for...Ch. 3.3 - 40. Construction—Resource Allocation A contractor...Ch. 3.3 - 41. Packaging—Product Mix The Beautiful Day Fruit...Ch. 3.3 - 42. Manufacturing—Resource Allocation The Bluejay...Ch. 3.3 - Agriculture-Crop Planning Suppose that the farmer...Ch. 3.3 - 44. Nutrition Pavan wants to add a sliced carrot...Ch. 3.3 - Packaging A small candy shop makes a special Cupid...Ch. 3.3 - Prob. 46ECh. 3.3 - 47. Packaging A bath shop sells two different gift...Ch. 3.3 - Packaging A florist offers two types of Thank You...Ch. 3.3 - Consider the following linear programming problem:...Ch. 3.3 - Consider the following linear programming problem:...Ch. 3.3 - Prob. 51ECh. 3.3 - Use Excel or Wolfram| Alpha to solve Exercise 26.Ch. 3.4 - Problems 1–3 refer to Example 1. Translate the...Ch. 3.4 - Problems 13 refer to Example 1. Translate the...Ch. 3.4 - Problems 13 refer to Example 1. Translate the...Ch. 3.4 - A linear programming problem has objective...Ch. 3.4 - 1. Figure 10(a) shows the feasible set of the...Ch. 3.4 - Figure 10(b) shows the feasible set of the...Ch. 3.4 - Consider the feasible set in Fig. 11, where three...Ch. 3.4 - Consider the feasible set in Fig. 11, where three...Ch. 3.4 - Consider the feasible set in Fig. 11, where three...Ch. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Consider the feasible set in Fig. 12, where three...Ch. 3.4 - Consider the feasible set in Fig. 12, where three...Ch. 3.4 - Consider the feasible set in Fig. 12, where three...Ch. 3.4 - Consider the feasible set in Fig. 13. For what...Ch. 3.4 - Prob. 12ECh. 3.4 - Nutrition-Animal Mr. Smith decides to feed his pet...Ch. 3.4 - Oil Production An oil company owns two refineries....Ch. 3.4 - Investment Planning Mr. Jones has $9000 to invest...Ch. 3.4 - Shipping-Product Mix A produce dealer in Florida...Ch. 3.4 - 17. Transportation—Shipping A foreign-car...Ch. 3.4 - Transportation-Shipping Consider the foreign-car...Ch. 3.4 - Manufacturing-Production Planning An oil refinery...Ch. 3.4 - 20. Manufacturing—Production Planning Suppose that...Ch. 3.4 - 21. Shipping—Resource Allocation A shipping...Ch. 3.4 - Shipping-Resource Allocation Suppose that the...Ch. 3.4 - 23. Transportation—Shipping A major coffee...Ch. 3.4 - Transportation-Shipping Consider the coffee...Ch. 3.4 - 25. Packaging—Product Mix A pet store sells three...Ch. 3.4 - Prob. 26ECh. 3.4 - 27. Refer to Fig. 6. As the lines of constant...Ch. 3.4 - Figure 16 shows the feasible set for the nutrition...Ch. 3.4 - Consider the feasible set in Fig. 17(a). In...Ch. 3.4 - Consider the feasible set in Fig. 17(a). In...Ch. 3.4 - Consider the feasible set in Fig. 17(a). In...Ch. 3.4 - Consider the feasible set in Fig. 17(a). In...Ch. 3.4 - Consider the feasible set in Fig. 17(a). In...Ch. 3.4 - Consider the feasible set in Fig. 17(a). In...Ch. 3.4 - Consider the feasible set in Fig. 17(a). In...Ch. 3.4 - Consider the feasible set in Fig. 17(a). In...Ch. 3.4 - Prob. 37ECh. 3 - State the inequality properties for addition,...Ch. 3 - What are the general forms of a linear inequality...Ch. 3 - Prob. 3FCCECh. 3 - 4. What is meant by the feasible set of a system...Ch. 3 - Prob. 5FCCECh. 3 - Prob. 6FCCECh. 3 - Prob. 7FCCECh. 3 - Prob. 8FCCECh. 3 - 9. Give a procedure for solving a linear...Ch. 3 - Prob. 1RECh. 3 - 2. Graph the linear inequality.
Ch. 3 - 3. Write the inequality whose graph is the...Ch. 3 - 4. Travel—Resource Allocation Terrapin Airlines...Ch. 3 - Nutrition-People A nutritionist is designing a new...Ch. 3 - Prob. 6RECh. 3 - Packaging-Product Mix A confectioner makes two...Ch. 3 - Prob. 8RECh. 3 - Packaging-Resource Allocation A computer company...Ch. 3 - Transportation-Shipping An appliance company has...Ch. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - Prob. 14RECh. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - When mathematicians are presented with a linear...Ch. 3 - When mathematicians are presented with a linear...Ch. 3 - When mathematicians are presented with a linear...Ch. 3 - When mathematicians are presented with a linear...Ch. 3 - When mathematicians are presented with a linear...Ch. 3 - When mathematicians are presented with a linear...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Find the equation of the tangent line at the given value of x on the curve. 2y3+xy-y= 250x4; x=1 y=arrow_forwardFind the equation of the tangent line at the given point on the curve. 3y² -√x=44, (16,4) y=] ...arrow_forwardFor a certain product, cost C and revenue R are given as follows, where x is the number of units sold in hundreds. Cost: C² = x² +92√x+56 Revenue: 898(x-6)² + 24R² = 16,224 dC a. Find the marginal cost at x = 6. dx The marginal cost is estimated to be $ ☐ . (Do not round until the final answer. Then round to the nearest hundredth as needed.)arrow_forward
- find the area.arrow_forwardThe graph of 3 (x² + y²)² = 100 (x² - y²), shown in the figure, is a lemniscate of Bernoulli. Find the equation of the tangent line at the point (4,2). АУ -10 10 Write the expression for the slope in terms of x and y. slope =arrow_forwardUse a geometric series to represent each of the given functions as a power series about x=0, and find their intervals of convergence. a. f(x)=5/(3-x) b. g(x)= 3/(x-2)arrow_forward
- Page of 2 ZOOM + 1) Answer the following questions by circling TRUE or FALSE (No explanation or work required). i) If A = [1 -2 1] 0 1 6, rank(A) = 3. (TRUE FALSE) LO 0 0] ii) If S = {1,x,x², x³} is a basis for P3, dim(P3) = 4 with the standard operations. (TRUE FALSE) iii) Let u = (1,1) and v = (1,-1) be two vectors in R². They are orthogonal according to the following inner product on R²: (u, v) = U₁V₁ + 2U2V2. ( TRUE FALSE) iv) A set S of vectors in an inner product space V is orthogonal when every pair of vectors in S is orthogonal. (TRUE FALSE) v) Dot product of two perpendicular vectors is zero. (TRUE FALSE) vi) Cross product of two perpendicular vectors is zero. (TRUE FALSE) 2) a) i) Determine which function(s) are solutions of the following linear differential equation. - y (4) — 16y= 0 • 3 cos x • 3 cos 2x -2x • e • 3e2x-4 sin 2x ii) Find the Wronskian for the set of functions that you found from i) as the solution of the differential equation above. iii) What does the result…arrow_forward6 m 10 m # 4 marrow_forward108° (y+8)° 125° (2x+11)° 98° 98°arrow_forward
- please helparrow_forwardAn object of mass 4 kg is given an initial downward velocity of 60 m/sec and then allowed to fall under the influence of gravity. Assume that the force in newtons due to air resistance is - 8v, where v is the velocity of the object in m/sec. Determine the equation of motion of the object. If the object is initially 500 m above the ground, determine when the object will strike the ground. Assume that the acceleration due to gravity is 9.81 m/sec² and let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object. x(t) = (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)arrow_forwardEarly Monday morning, the temperature in the lecture hall has fallen to 40°F, the same as the temperature outside. At 7:00 A.M., the janitor turns on the furnace with the thermostat set at 72°F. The time constant for the building is = 3 hr and that for the building along with its heating system is 1 K A.M.? When will the temperature inside the hall reach 71°F? 1 = 1 hr. Assuming that the outside temperature remains constant, what will be the temperature inside the lecture hall at 8:30 2 At 8:30 A.M., the temperature inside the lecture hall will be about (Round to the nearest tenth as needed.) 1°F.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra for College Students
Algebra
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Use of ALGEBRA in REAL LIFE; Author: Fast and Easy Maths !;https://www.youtube.com/watch?v=9_PbWFpvkDc;License: Standard YouTube License, CC-BY
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY