Consider the network below with the following link travel time functionsX₂ is the flow (users) on link a; ta is the travel time of link a in minutest₁(x1) = x1 + 3t₂(x2) = 2x2 + 1t3(x3) = 3x3t4(x4) = 22t5(x5)= X52c2 =5334Let D be the demand for the O-D pair (1, 4).(b)Assuming all paths are used at User-Equilibrium, express the link flow X2 as afunction of D (Provide the values in 3 decimal places).X2 = C1D + c2c1=

Given, Travel time of link (a), ta(xa) as t1(x1) = x1 + 3,…

Answered: Consider the network below with the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard model requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2 hours to assemble and 4 hours for finishing touches. Based on their current staffing, they can manage a maximum number of assembly hours available is 50 per day, and the maximum number of finishing hours available is 64 per day. Let x = the number of standard model bookcases produced per day and y = the number of artisan model bookcases produced per day. Write the system of inequalities that represents the maximum number of bookcases that can be produced in one day. 0 Graph the system of inequalities, remember to include x >0 and y > 0 in your graph to get full credit. You will need to include four lines. 25 24 VI
A collector of antique clocks sold at auction believes that the price received for the clocks may be modeled as a linear function of the age of the clocks and the number of bidders at the auction. After a preliminary study and collection of 32 observations, the collector came up with the following second-order model: y = BO+B₁x₁+B₂x₂ + ß3 x1x2 +B4x² +ɛ, where y: price of a clock; x₁: age of a clock; x2: the number of bidders. Considering the output below and by setting a = 0.05, answer the following questions. The regression equation is Price = 262 +2.26 Age + 14.2 Bidder + 1.13 AgeBid 4.20 Bid^2 Predictor Constant -261.7 2.260 14.21 Age Bidder AgeBid Bid^2 S = 84.512 Coef SE Coef 1.1301 -4.196 Analysis of Variance Source 404.4 2.052 R-Sq= 96.0% Variable Age Bidder AgeBid Bid^2 60.83 0.23 5.17 0.000 0.219 1.344 -3.12 0.004 R-Sq (adj) DF Regression 4 4606950 Residual Error 27 192840 Total 31 4799790 SS T P -0.65 0.523 1.10 0.280 0.817 a. Is the model useful as a whole? Apply an…
1) A book club has a membership fee of $25. Each book purchased costs $3. Find a rule for the linear function that describes the total cost of buying books as a member of the club, and find the total cost of buying 12 books. Explain your answer!
4. Sketch the graph of a non-linear model on the grid provided on the right and explain how you know it is NON-linear.
Explain what is meant when two variables are positively linesrly related. What would scatter plott look like? Two variables x and y are postively linearly related if when the x value increases , the y value increases or decrease? The points on a scatter plot fall approximately in a-an ascending straight line b- a descending curve c- a descending straight line or d- an ascending curve from left to right?
Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.
Determine whether 2 4 are linearly independent.
Define Linearly Dependence and give on example
The marching band at a local high school is selling candy bars. The profits will go toward the purchase of new marching band uniforms. They are interested in knowing what price they should charge to obtain the maximum profit. The candy bars are donated by a local retailer so they know that if they charge $0 they will make $0 profit. They also collect data from other marching bands who have sold candy bars in the past. The data they collected is shown in the table below. Price 0.00 0.45 0.60 0.75 1.00 1.25 1.40 1.50 Profit 0.00 $720 $900 $990 $845 $625 $560 $300 What factors might influence how much is to be made from the candy sale? Give at least two. What happens to the profit as the price of each candy bar increases? Explain possible reasons for your observations. How do you suppose the other bands determined the price at which to sell each candy bar? Do any data values seem unusual? Yes or…

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