Answered: (2) A certain brand of tea bags comes…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Topic Video

Question

Need help with question 2

Transcribed Image Text:Problem Set A (1) The following is known about three numbers: Three times the first number plus the second number plus twice the third number is 5. If 3 times the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2. If the third number is subtracted from 2 times the first number and 3 times the second number, the result is 1. (a) Write a system of equations to match the description of the information given. (b) Find the numbers using Cramer's Rule. (2) A certain brand of tea bags comes in packages of 5, 10, and 20 sachets, costing $5, $9, and $15 per package, respectively. A store sold 16 packages containing a total of 165 sachets and took in $140. (a) Write a system of equations to match the description of the information given. (b) Determine how many packages of each type were sold using the Inverse Method. (3) A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 – p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. (a) If we assume that the total cost per day is linearly related to the amount of sinks produced in a day, derive the total cost function of the company? (b) Find a function for the average cost of this company. (c) If production increases continuously, what is likely to be the average cost per sink? (d) How many laundry sinks will the company need to produce in order to maximise it's profits? (e) What is the maximum profit? Problem Set B 1. The demand function for a good is given by the equation P cost function is TC = dQ² + eQ + f, where a, b, d, e and f are positive constants. (a) Derive the equation for profit. (b) Derive an expression for the value of Q for which profit is maximised. (2) For the f(x) = -x³ + 3x + 6 determine the coordinates of the turning point(s) and any point(s) of inflection, if they exist. = a - - bQ while the total

Expert Solution

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Research Design Formulation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions