Resource Allocation: An auditorium has 7,500 seats and two categories of ticket prices,$22 and $32 for two Christmas concert shows. Assume that all seats can be sold. Useand show your use of matrix inverse methods to answer problems 7 and 8.7. For the first show, how many tickets in each category were sold if the total revenuefrom ticket sales was $186,400?For the second show, how many tickets in each category were sold if thetotai revenue from ticket sales was $175,340?

Let us find the solution of the problem using inverse matrix method in the next step.

Answered: Resource Allocation: An auditorium has…

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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Mr. Adams wants to rent a beachfront condominium. Unit 1 costs $1,200 for the week plus a cleaning fee of $50 per day. Unit 2 costs $1,450 for the week with no cleaning fee. What is an appropriate model to use to determine at which number of days both units cost the same amount for the week? a table with two columns, one showing the cost of Unit 1 starting at $1,200 and increasing $50 every row, and the other showing the cost of Unit 2 starting at $1,450 and increasing $50 each row a graph with the number of days for the week on the x-axis and the cost on the y-axis, showing the cost of Unit 1 starting at $50 and increasing $1,200 each day, and the cost of Unit 2 starting at $0 and increasing $1,450 each day a graph w the number of days for the eek on the x-axis and the cost on he y-axis, showing cost 1 starting at $1,200 and increasing $50 each day, and the cost of Unit 2 at $1,450 each day without increasing a table with two columns, one showing the cost of Unit 1 starting at $50 and…
Find if possible the matrices: a. AB b. BA.
This is one question, I couldn’t fit it into one picture so I insert 2.
A Sillall software corporation borrowed $115,000 to expand its software line. The corporation borrowed some of the money at 3%, some at 4%, and some at 5%. Use a system of equations to determine how much was borrowed at each rate when the annual interest was $5,300 and the amount borrowed at 4% was times the amount borrowed at 3%. Solve the system using matrices. amount borrowed at 3% amount borrowed at 4% $ amount borrowed at 5% Need Help? Master It Read It Submit Answer
A small software corporation borrowed $292,500 to expand its software line. Some of the money was borrowed at 9%, some at 10%, and some at 12%. Use a system of equations to determine how much was borrowed at each rate if the annual interest was $29,900 and the amount borrowed at 10% was 22 times the amount borrowed at 9%. Solve the system using matrices. Step 1 Let the amount borrowed at 9% be x, the amount borrowed at 10% be y, and the amount borrowed at 12% be z. The total amount borrowed was $292,500. The total annual interest was $29,900. The amount borrowed at 10% was 2- times the amount borrowed at 9%. Write a set of equations using the information given. Convert the percentage to decimal fraction. x + y + z = 292,500 .09 x +.10 y + |.12 V z = 29,900 X x - y = 0 Write the associated augmented matrix for the given system of equations. Recall that since there are three equations in the system, the matrix will have three rows. Use the coefficients of x, y and z as entries of the…

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