Answered: · x”+ 4x' + 5x = 8(t − ñ) + d(t − 2π);…

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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Problem 2 Duke Energy needs to determine how much electricity to produce from each of their generators in order to meet their demand in the next hour. They have 5 available generators. The generators differ in the fixed cost of operating the generator (which is paid only if the generator is turned on and produces a positive amount of electricity), the variable cost per MW, and the maximum amount of electricity (in MW) they can produce. The table below lists these values for each of the generators. Generator 1 2 3 4 5 Fixed cost: F; ($) Variable cost: Cj ($ per MW) 4 5 8 7 Max Capacity: M; (MW) 300 250 200 500 Suppose that Duke Energy must produce electricity to meet demand of 600 MW this hour. 1. Formulate an integer programming problem that helps Duke determine which generator(s) should be turned on and how much electricity should be produced from each of these generators in order to meet the demand at minimum total cost. Clearly define the decision variables, objective and…
Suppose you invest money in two accounts. One of the accounts pay 10%10% annual interest, whereas the other pays 12%12% annual interest. If you have $5,000$5,000 more invested at 12%12% than you invested at 10%10%, how much do you have invested in each account if the total amount of interest you earn in a year is $1,040$1,040?
A certain company is producing and selling its product X. The variable cost of the product X is 60% of its selling price, and the fixed cost of the company is $50,000 per month. When the company’s target profit for the forthcoming month is $20,000, how much sales volume (in dollars) is required to meet it?
solve part D only
Problem 1 If company A manufactures t-shirts and sells them to retailers for US$9.80 each. It has fixed costs of $2625 related to the production of the t-shirts, and the production cost per unit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers. The demand for its product is p = 15 -D5 its production cost per unit is US$5.00 and its fixed cost are the same as for company A . (1) Derive the total revenue function, R(x) for company A. (ii) Derive the total cost function, C(x) for company A. (iii) Derive the profit function, II(x) for company A.
Which of the following statements is true for all invertible 3x3 matrices A and B? (3ABA-!)-|B = -3AB¬'A-!B 1 (3ABA-|)-'B = -AB-A-"B 1 (3ABA-!)-'B = 3 1 (3ABA¬!)-'B = =ABA-'B-!
Yet another (fictional) student submitted the following solution to an optimization problem. This time the solution is technically correct, but it is still insufficient there isn't nearly enough detail/explanation to receive full credit. Rewrite the solution below, adding all details (including a diagram) that are necessary to produce a complete solution worthy of full marks. (To be clear: the final answer is correct. What we want to see are the necessary explanations to make it clear where each step is coming from.) Problem: Find the dimensions of the rectangle of maximum area that can be drawn within a semicircle of radius 3, if one side of the rectangle lies along the diameter of the semicircle. (Suggestion: draw your semicircle on the ry-plane as the top half of the circle ? + y? = 9.) Solution: A = 2ry = 2r9-a A' = 2/9-2 272 2(9 - 22?) V9-2 2x = 9 so r Dimensions: 2x = 3/2 and y =
QUESTION 3 A wholesaler must decide how many computers to purchase before they know how many they will be able to sell to local retailers. The wholesaler purchases the computers for S300 each and sells them to retailers for $350 each. If the wholesaler is not able to sell them to a retailer then the wholesaler can return them to the manufacturer (for a refund of the S300 cost), but the wholesaler must pay $40 per computer that it returns to the manufacturer (in shipping, handling, and insurance costs). The following probability distribution describes the number of computers the wholesaler may possibly sell to local retailers: there is a 21% chance that they will sell 900 computers, a 56% chance that they will sell 1200 computers; otherwise, they will sell 1500 computers. What is the expected number of computers the wholesaler will sell? (please round your answer to 1 decimal place)
Among the assumptions for the formulation of an LP problem, there us linearity. What does it mean in practice, and why is it important?
Please solve this question for me for my University Assignment.
A small plant manufactures riding lawn mowers. The plant has a net fixed cost (leases, insurance, and so on) of$56000/day and variable costs (labor, materials, and so on) of $1600 per unit produced. The mowers are sold for $2000each unit per day. Write down the appropriate cost and revenue equations for the problem respectively. Using theseequations, answer the following questions:(a) How many units must be manufactured and sold each day for the company to maintain break-even trade?(b) Plot both equations simultaneously in a graph, and clearly indicate break-even point, equilibrium point andequilibrium price in this trade to maintain revenue as expected. Interpret the significance of the regions to the left- andright-side of the break-even point in this business.
I've been stuck on this problem, can somebody explain how to solve it?

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· x”+ 4x' + 5x = 8(t − ñ) + d(t − 2π); x(0) = 0, x '(0) = 2