Numerical Methods For Engineers, 7 Ed
7th Edition
ISBN: 9789352602131
Author: Canale Chapra
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 25, Problem 9P
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In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $31 per doll. During the holiday
selling season, FTC will sell the dolls for $39 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is extremely uncertain. Forecasts are for expected sales of
60,000 dolls with a standard deviation of 15,000. The normal probability distribution is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before
finalizing the decision.
(a) Determine the equation for computing FTC's profit for given values of the…
To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3,700, and the average first-year commission for each new account opened is
$5,200. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that individual will open a new account.
(a) Determine the equation for computing Gustin's profit per seminar, given values of the relevant parameters.
Profit = (3,700 x 5,200) - New Accounts Opened
Profit = 5,200 - (New Accounts Opened x 3,700)
Profit = (New Accounts Opened x 3,700) - 5,200
Profit = New Accounts Opened - (5,200 × 3,700)
Profit = (New Accounts Opened x 5,200) - 3,700
(b) What type of random variable is the number of new accounts opened? Hint: Review Appendix 12.1 for descriptions of various types of probability distributions.
continuous
integer uniform
normal
discrete uniform…
Chapter 25 Solutions
Numerical Methods For Engineers, 7 Ed
Ch. 25 - Solve the following initial value problem over the...Ch. 25 - Solve the following problem over the interval from...Ch. 25 - Use the (a) Euler and (b) Heun (without iteration)...Ch. 25 - Solve the following problem with the fourth-order...Ch. 25 - Solve from t=0to3withh=0.1 using (a) Heun (without...Ch. 25 - 25.6 Solve the following problem numerically from...Ch. 25 - Use (a) Eulers and (b) the fourth-order RK method...Ch. 25 - 25.8 Compute the first step of Example 25.14...Ch. 25 -
25.9 If, determine whether step size adjustment...Ch. 25 - Use the RK-Fehlberg approach to perform the same...
Ch. 25 -
25.11 Write a computer program based on Fig....Ch. 25 - Test the program you developed in Prob. 25.11 by...Ch. 25 -
25.13 Develop a user-friendly program for the...Ch. 25 - Develop a user-friendly computer program for the...Ch. 25 - Develop a user-friendly computer program for...Ch. 25 - 25.16 The motion of a damped spring-mass system...Ch. 25 - If water is drained from a vertical cylindrical...Ch. 25 - The following is an initial value, second-order...Ch. 25 - Assuming that drag is proportional to the square...Ch. 25 - A spherical tank has a circular orifice in its...Ch. 25 - The logistic model is used to simulate population...Ch. 25 - 25.22 Suppose that a projectile is launched...Ch. 25 - The following function exhibits both flat and...Ch. 25 - 25.24 Given the initial conditions,, solve the...Ch. 25 - Use the following differential equations to...Ch. 25 - 25.26 Three linked bungee jumpers are depicted in...
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