EBK BUSINESS MATH
11th Edition
ISBN: 8220103632072
Author: NOBLE
Publisher: Pearson Education (US)
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Chapter 1, Problem 5CT
To determine
A problem faced that describes the requirement of addition of whole numbers.
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7. The demand for a product, in dollars, is
p = D(x) = 1000 -0.5 -0.0002x²
1
Find the consumer surplus when the sales level is 200.
[Hints: Let pm be the market price when xm units of product are sold. Then the consumer
surplus can be calculated by foam (D(x) — pm) dx]
2. Claim events on a portfolio of insurance policies follow a Poisson process with parameter
A. Individual claim amounts follow a distribution X with density:
f(x)=0.0122re001, g>0.
The insurance company calculates premiums using a premium loading of 45%.
(a) Derive the moment generating function Mx(t).
4. Find the general solution and the definite solution for the following differential equations:
(a)
+10y=15, y(0) = 0;
(b) 2 + 4y = 6, y(0) =
Chapter 1 Solutions
EBK BUSINESS MATH
Ch. 1.1 - Prob. 1-1SCCh. 1.1 - Prob. 1-2SCCh. 1.1 - Prob. 1-3SCCh. 1.1 - Prob. 1-4SCCh. 1.1 - Prob. 2-1SCCh. 1.1 - Prob. 2-2SCCh. 1.1 - Prob. 2-3SCCh. 1.1 - Prob. 2-4SCCh. 1.1 - Prob. 3-1SCCh. 1.1 - Prob. 3-2SC
Ch. 1.1 - Prob. 3-3SCCh. 1.1 - Prob. 3-4SCCh. 1.1 - Prob. 3-5SCCh. 1.1 - Prob. 3-6SCCh. 1.1 - Prob. 4-1SCCh. 1.1 - Prob. 4-2SCCh. 1.1 - Prob. 4-3SCCh. 1.1 - Prob. 4-4SCCh. 1.1 - Prob. 1SECh. 1.1 - Prob. 2SECh. 1.1 - Prob. 3SECh. 1.1 - Prob. 4SECh. 1.1 - Prob. 5SECh. 1.1 - Prob. 6SECh. 1.1 - Prob. 7SECh. 1.1 - Prob. 8SECh. 1.1 - Prob. 9SECh. 1.1 - Prob. 10SECh. 1.1 - Prob. 11SECh. 1.1 - Prob. 12SECh. 1.1 - Prob. 13SECh. 1.1 - Prob. 14SECh. 1.1 - Prob. 15SECh. 1.1 - Prob. 16SECh. 1.1 - Prob. 17SECh. 1.1 - Prob. 18SECh. 1.1 - Prob. 19SECh. 1.1 - Prob. 20SECh. 1.1 - Prob. 21SECh. 1.1 - Prob. 22SECh. 1.1 - Prob. 23SECh. 1.1 - Prob. 24SECh. 1.1 - Prob. 25SECh. 1.1 - Prob. 26SECh. 1.2 - Prob. 1-1SCCh. 1.2 - Prob. 1-2SCCh. 1.2 - Prob. 1-3SCCh. 1.2 - Prob. 1-4SCCh. 1.2 - Prob. 1-5SCCh. 1.2 - Prob. 1-6SCCh. 1.2 - Prob. 1-7SCCh. 1.2 - Prob. 1-8SCCh. 1.2 - Prob. 1-9SCCh. 1.2 - Prob. 1-10SCCh. 1.2 - Prob. 1-11SCCh. 1.2 - Prob. 1-12SCCh. 1.2 - Prob. 2-1SCCh. 1.2 - Prob. 2-2SCCh. 1.2 - Prob. 2-3SCCh. 1.2 - 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Prob. 23SECh. 1.2 - Prob. 24SECh. 1.2 - Prob. 25SECh. 1.2 - Prob. 26SECh. 1.2 - Prob. 27SECh. 1.2 - Prob. 28SECh. 1.2 - Prob. 29SECh. 1.2 - Prob. 30SECh. 1.2 - Prob. 31SECh. 1.2 - Prob. 32SECh. 1.2 - Prob. 33SECh. 1.2 - Prob. 34SECh. 1.2 - Prob. 35SECh. 1.2 - Prob. 36SECh. 1.2 - Prob. 37SECh. 1.2 - Prob. 38SECh. 1.2 - Prob. 39SECh. 1.2 - Prob. 40SECh. 1.2 - Prob. 41SECh. 1.2 - Prob. 42SECh. 1.2 - Prob. 43SECh. 1.2 - Prob. 44SECh. 1.2 - Prob. 45SECh. 1.2 - Prob. 46SECh. 1.2 - Prob. 47SECh. 1.2 - Prob. 48SECh. 1.2 - Prob. 49SECh. 1.2 - Prob. 50SECh. 1.2 - Prob. 51SECh. 1.2 - Prob. 52SECh. 1.2 - Prob. 53SECh. 1.2 - Prob. 54SECh. 1.2 - Prob. 55SECh. 1.2 - Prob. 56SECh. 1 - Prob. 1ESCh. 1 - Prob. 2ESCh. 1 - Prob. 3ESCh. 1 - Prob. 4ESCh. 1 - Prob. 5ESCh. 1 - Prob. 6ESCh. 1 - Prob. 7ESCh. 1 - Prob. 8ESCh. 1 - Prob. 9ESCh. 1 - Prob. 10ESCh. 1 - Prob. 11ESCh. 1 - Prob. 12ESCh. 1 - Prob. 13ESCh. 1 - Prob. 14ESCh. 1 - Prob. 15ESCh. 1 - Prob. 16ESCh. 1 - Prob. 17ESCh. 1 - Prob. 18ESCh. 1 - Prob. 19ESCh. 1 - Prob. 20ESCh. 1 - Prob. 21ESCh. 1 - Prob. 22ESCh. 1 - Prob. 23ESCh. 1 - Prob. 24ESCh. 1 - Prob. 25ESCh. 1 - Prob. 26ESCh. 1 - Prob. 27ESCh. 1 - Prob. 28ESCh. 1 - Prob. 29ESCh. 1 - Prob. 30ESCh. 1 - Prob. 31ESCh. 1 - Prob. 32ESCh. 1 - Prob. 33ESCh. 1 - Prob. 34ESCh. 1 - Prob. 35ESCh. 1 - Prob. 36ESCh. 1 - Prob. 37ESCh. 1 - Prob. 38ESCh. 1 - Prob. 39ESCh. 1 - Prob. 40ESCh. 1 - Prob. 41ESCh. 1 - Prob. 42ESCh. 1 - Prob. 43ESCh. 1 - Prob. 44ESCh. 1 - Prob. 45ESCh. 1 - Prob. 46ESCh. 1 - Prob. 47ESCh. 1 - Prob. 48ESCh. 1 - Prob. 49ESCh. 1 - Prob. 50ESCh. 1 - Prob. 51ESCh. 1 - Prob. 52ESCh. 1 - Prob. 53ESCh. 1 - Prob. 54ESCh. 1 - Prob. 55ESCh. 1 - Prob. 56ESCh. 1 - Prob. 57ESCh. 1 - Prob. 58ESCh. 1 - Prob. 59ESCh. 1 - Prob. 60ESCh. 1 - Prob. 61ESCh. 1 - Prob. 62ESCh. 1 - Prob. 63ESCh. 1 - Prob. 64ESCh. 1 - Prob. 65ESCh. 1 - Prob. 66ESCh. 1 - Prob. 67ESCh. 1 - Prob. 68ESCh. 1 - Prob. 69ESCh. 1 - Prob. 70ESCh. 1 - Prob. 71ESCh. 1 - Prob. 72ESCh. 1 - Prob. 73ESCh. 1 - Prob. 74ESCh. 1 - Prob. 75ESCh. 1 - Prob. 76ESCh. 1 - Prob. 77ESCh. 1 - Prob. 78ESCh. 1 - Prob. 79ESCh. 1 - Prob. 80ESCh. 1 - Prob. 81ESCh. 1 - Prob. 82ESCh. 1 - Prob. 83ESCh. 1 - Prob. 84ESCh. 1 - Prob. 85ESCh. 1 - Prob. 86ESCh. 1 - Prob. 87ESCh. 1 - Prob. 88ESCh. 1 - Prob. 89ESCh. 1 - Prob. 1PTCh. 1 - Prob. 2PTCh. 1 - Prob. 3PTCh. 1 - Prob. 4PTCh. 1 - Prob. 5PTCh. 1 - Prob. 6PTCh. 1 - Prob. 7PTCh. 1 - Prob. 8PTCh. 1 - Prob. 9PTCh. 1 - Prob. 10PTCh. 1 - Prob. 11PTCh. 1 - Prob. 12PTCh. 1 - Prob. 13PTCh. 1 - Prob. 14PTCh. 1 - Prob. 15PTCh. 1 - Prob. 16PTCh. 1 - Prob. 17PTCh. 1 - Prob. 18PTCh. 1 - Prob. 19PTCh. 1 - Prob. 20PTCh. 1 - Prob. 21PTCh. 1 - Prob. 22PTCh. 1 - Prob. 23PTCh. 1 - Prob. 24PTCh. 1 - Prob. 25PTCh. 1 - Prob. 26PTCh. 1 - Prob. 27PTCh. 1 - Prob. 28PTCh. 1 - Prob. 29PTCh. 1 - Prob. 30PTCh. 1 - Prob. 31PTCh. 1 - Prob. 32PTCh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - Prob. 5CTCh. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - Prob. 10CTCh. 1 - Prob. 11CTCh. 1 - Prob. 12CTCh. 1 - Prob. 1CPCh. 1 - Prob. 2CPCh. 1 - Prob. 1CS1Ch. 1 - Prob. 2CS1Ch. 1 - Prob. 3CS1Ch. 1 - Prob. 1CS2Ch. 1 - Prob. 2CS2Ch. 1 - Prob. 3CS2Ch. 1 - Prob. 1CS3Ch. 1 - Prob. 2CS3Ch. 1 - Prob. 3CS3Ch. 1 - Prob. 4CS3Ch. 1 - Prob. 5CS3
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- 5) For each function represented by an equation, make a table and plot the corresponding points to sketch the graph of the function. (a) y = 75 ()* 220 X y 200- -2 180 160 -1 140 0 120 100 1 60 80 2 3 4 x (b) y = 20 ()* 1 60 40 20 20 0 2 3 65- -1 X y 60 -2 55- 50 45 44 40 0 35- 30 1 25 2 20 20 15 3 10 5 LO 4 3-2 T -1 0 5- 4- -3- 2-arrow_forward5. Find the solution to each of the following by using an appropriate formula developed in the lecture slides: (a) + 3y = 2, y(0) = 4; (b) dy - 7y = 7, y(0) = 7; (c) 3d+6y= 5, y(0) = 0arrow_forward1. Evaluate the following improper integrals: (a) fe-rt dt; (b) fert dt; (c) fi da dxarrow_forward
- 8. Given the rate of net investment I(t) = 9t¹/2, find the level of capital formation in (i) 16 years and (ii) between the 4th and the 8th years.arrow_forward9. If the marginal revenue function of a firm in the production of output is MR = 40 - 10q² where q is the level of output, and total revenue is 120 at 3 units of output, find the total revenue function. [Hints: TR = √ MRdq]arrow_forward6. Solve the following first-order linear differential equations; if an initial condition is given, definitize the arbitrary constant: (a) 2 + 12y + 2et = 0, y(0) = /; (b) dy+y=tarrow_forward
- 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)arrow_forward7. 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*).arrow_forward3. 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%?arrow_forward
- 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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