Business Math (11th Edition)
11th Edition
ISBN: 9780134496436
Author: Cheryl Cleaves, Margie Hobbs, Jeffrey Noble
Publisher: PEARSON
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Chapter 11.1, Problem 2-4SC
To determine
To calculate: The maturity value of a
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4. Let A = {a, b, c, d, e, f}, B = {e, f, g, h} and C = {a, e, h,i}. Let U = {a, b, c, d, e, f, g, h, i, j, k}.
• Draw a Venn Diagram to describe the relationships between these sets
Find (AB) NC
• Find (AC) UB
Find AUBUC
• Find (BC) N (A - C)
7. A consumer lives on an island where she produces two goods x and y according to the
production possibility frontier x² + y² < 200 and she consumes all the goods. Her utility function
is U(x, y) = x y³. She faces an environmental constraint on her total output of both goods. The
environmental constraint is given by x + y ≤20.
•
(a) Write down the consumer's optimization problem.
(b) Write out the Kuhn-Tucker first order conditions.
(c) Find the consumer's optimal consumption bundle (x*, y*).
3. Answer the following questions:
(a) Given the marginal propensity to import M'(Y) = 0.1 and the information that M = 20
when Y = 0, find the import function M(Y).
(b) Given a continuous income stream at the constant rate of $1,000 per year, what will be the
present value II if the income stream terminates after exactly 3 years and the discount rate is 0.04?
(c) What is the present value of a perpetual cash flow of $2,460 per year, discounted at r = 8%?
Chapter 11 Solutions
Business Math (11th Edition)
Ch. 11.1 - Prob. 1-1SCCh. 11.1 - Prob. 1-2SCCh. 11.1 - Prob. 1-3SCCh. 11.1 - Prob. 1-4SCCh. 11.1 - Prob. 2-1SCCh. 11.1 - Prob. 2-2SCCh. 11.1 - Prob. 2-3SCCh. 11.1 - Prob. 2-4SCCh. 11.1 - Prob. 3-1SCCh. 11.1 - Prob. 3-2SC
Ch. 11.1 - Prob. 3-3SCCh. 11.1 - Prob. 3-4SCCh. 11.1 - Prob. 4-1SCCh. 11.1 - Prob. 4-2SCCh. 11.1 - Prob. 4-3SCCh. 11.1 - Prob. 4-4SCCh. 11.1 - Prob. 1SECh. 11.1 - Prob. 2SECh. 11.1 - Prob. 3SECh. 11.1 - Prob. 4SECh. 11.1 - Prob. 5SECh. 11.1 - Prob. 6SECh. 11.1 - Prob. 7SECh. 11.1 - Prob. 8SECh. 11.1 - Prob. 9SECh. 11.1 - Prob. 10SECh. 11.1 - Prob. 11SECh. 11.1 - Prob. 12SECh. 11.1 - Prob. 13SECh. 11.1 - Prob. 14SECh. 11.1 - Prob. 15SECh. 11.1 - Prob. 16SECh. 11.2 - Prob. 1-1SCCh. 11.2 - Prob. 1-2SCCh. 11.2 - Prob. 1-3SCCh. 11.2 - Prob. 1-4SCCh. 11.2 - Prob. 2-1SCCh. 11.2 - Prob. 2-2SCCh. 11.2 - Prob. 2-3SCCh. 11.2 - Prob. 2-4SCCh. 11.2 - Prob. 3-1SCCh. 11.2 - Prob. 3-2SCCh. 11.2 - Prob. 3-3SCCh. 11.2 - Prob. 3-4SCCh. 11.2 - Prob. 3-5SCCh. 11.2 - Prob. 4-1SCCh. 11.2 - Prob. 4-2SCCh. 11.2 - Prob. 4-3SCCh. 11.2 - Prob. 4-4SCCh. 11.2 - Prob. 1SECh. 11.2 - Prob. 2SECh. 11.2 - Prob. 3SECh. 11.2 - Prob. 4SECh. 11.2 - Prob. 5SECh. 11.2 - Prob. 6SECh. 11.2 - Prob. 7SECh. 11.2 - Prob. 8SECh. 11.2 - Prob. 9SECh. 11.2 - Prob. 10SECh. 11.2 - Prob. 11SECh. 11.2 - Prob. 12SECh. 11.2 - Prob. 13SECh. 11.2 - Prob. 14SECh. 11.2 - Prob. 15SECh. 11.3 - Prob. 1-1SCCh. 11.3 - Prob. 1-2SCCh. 11.3 - Prob. 1-3SCCh. 11.3 - Prob. 1-4SCCh. 11.3 - Prob. 2-1SCCh. 11.3 - Prob. 2-2SCCh. 11.3 - Prob. 2-3SCCh. 11.3 - Prob. 2-4SCCh. 11.3 - Prob. 3-1SCCh. 11.3 - Prob. 3-2SCCh. 11.3 - Prob. 3-3SCCh. 11.3 - Prob. 3-4SCCh. 11.3 - Prob. 1SECh. 11.3 - Prob. 2SECh. 11.3 - Prob. 3SECh. 11.3 - Prob. 4SECh. 11.3 - Prob. 5SECh. 11.3 - Prob. 6SECh. 11.3 - Prob. 7SECh. 11.3 - Prob. 8SECh. 11.3 - Prob. 9SECh. 11.3 - Prob. 10SECh. 11.3 - Prob. 11SECh. 11 - Prob. 1ESCh. 11 - Prob. 2ESCh. 11 - Prob. 3ESCh. 11 - Prob. 4ESCh. 11 - Prob. 5ESCh. 11 - Prob. 6ESCh. 11 - Prob. 7ESCh. 11 - Prob. 8ESCh. 11 - Prob. 9ESCh. 11 - Prob. 10ESCh. 11 - Prob. 11ESCh. 11 - Prob. 12ESCh. 11 - Prob. 13ESCh. 11 - Prob. 14ESCh. 11 - Prob. 15ESCh. 11 - Prob. 16ESCh. 11 - Prob. 17ESCh. 11 - Prob. 18ESCh. 11 - Prob. 19ESCh. 11 - Prob. 20ESCh. 11 - Prob. 21ESCh. 11 - Prob. 22ESCh. 11 - Prob. 23ESCh. 11 - Prob. 24ESCh. 11 - Prob. 25ESCh. 11 - Prob. 26ESCh. 11 - Prob. 27ESCh. 11 - Prob. 28ESCh. 11 - Prob. 29ESCh. 11 - Prob. 30ESCh. 11 - Prob. 31ESCh. 11 - Prob. 32ESCh. 11 - Prob. 33ESCh. 11 - Prob. 34ESCh. 11 - Prob. 35ESCh. 11 - Prob. 36ESCh. 11 - Prob. 37ESCh. 11 - Prob. 38ESCh. 11 - Prob. 39ESCh. 11 - Prob. 40ESCh. 11 - Prob. 41ESCh. 11 - Prob. 42ESCh. 11 - Prob. 43ESCh. 11 - Prob. 44ESCh. 11 - Prob. 45ESCh. 11 - Prob. 46ESCh. 11 - Prob. 47ESCh. 11 - Prob. 48ESCh. 11 - Prob. 49ESCh. 11 - Prob. 50ESCh. 11 - Prob. 51ESCh. 11 - Prob. 52ESCh. 11 - Prob. 53ESCh. 11 - Prob. 54ESCh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PTCh. 11 - Prob. 17PTCh. 11 - Prob. 18PTCh. 11 - Prob. 19PTCh. 11 - Prob. 20PTCh. 11 - Prob. 21PTCh. 11 - Prob. 22PTCh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Prob. 5CTCh. 11 - Prob. 6CTCh. 11 - Prob. 7CTCh. 11 - Prob. 8CTCh. 11 - Prob. 1CPCh. 11 - Prob. 2CPCh. 11 - Prob. 3CPCh. 11 - Prob. 4CPCh. 11 - Prob. 1CS1Ch. 11 - Prob. 2CS1Ch. 11 - Prob. 3CS1Ch. 11 - Prob. 4CS1Ch. 11 - Prob. 1CS2Ch. 11 - Prob. 2CS2Ch. 11 - Prob. 3CS2Ch. 11 - Prob. 4CS2Ch. 11 - Prob. 1CS3Ch. 11 - Prob. 2CS3Ch. 11 - Prob. 3CS3Ch. 11 - Prob. 4CS3
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- 5. Let A and B be arbitrary sets. Prove AnB = AUB.arrow_forward2. Answer the following questions: (a) Given the marginal-revenue function R'(Q) = 28Q - €0.3Q, find the total-revenue function R(Q). What initial condition can you introduce to definitize the constant of integration? = (b) Given the marginal propensity to consume C'(Y) 0.80.1Y-1/2 and the information that C = Y when Y = 100, find the consumption function C(Y).arrow_forwardX GG G + C td.bksblive2.com.au/bksblive2/Play... E R New Chrome available CANVAS gmetrix N notion Six big immigratio... >>> All Bookmarks 1.1 ACSF L5 SC Geometry and Measure: Vectors Vectors State the vector quantities shown on the image below. AB = CD' = A B D < C 80 esc F1 F2 F3 F4 ? Help 7arrow_forward
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