A person wants to earn the profit of $200,000 from his three goods next year. Product A gives him a profit of $100 andhas an expected growth of 10% per year. Product B provides a profit of $200 and has an expected growth of 5% peryear. Product C provides a profit of $150 and has an expected growth of 8% per year. The person plans to sell two timesof product C as of product B. If the person estimated a total growth of 12% per year in his profits, how many of eachproduct should the person sell in a year? the answer is A: 1931, B: 14, C: 28

Let's denote the number of units of product A, B, and C sold in as x, y and z respectively. Given…

Answered: A person wants to earn the profit of…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Q8. How much should you invest now at 10% to have $32,000 toward the purchase of a car in 6 years if interest is a) Compounded quarterly. b) Compounded continuously.
A student has decided that passing a mathematics course will, in the long run, be twice as valuable as passing any other kind of course. The student estimates that passing a typical math course will require 12hr a week to study and do homework. The student estimates that any other course will require only 8hr a week. The student has 48hr available for study per week. How many of each kind of course should the student take? (Hint: The profit could be viewed as 2 “value points” for passing a math course and 1 “value point” for passing any other course.) How, if at all, do the maximum value and optimal course mix change if the student decides to take at least two math courses and two other courses?
In a particular very small region, the consumer price index, C, depends on the current value of gross regional domestic expenditure E, number of people living in poverty P, and the average number of household members in a family F, by the following formula: e-EP C = 100 + F If it is known that the gross regional domestic expenditure is decreasing at a rate of PHP 50 per year, and the number of people living in poverty and the average number of household members in a family are increasing at 3 and 1 per year, resp., how fast does the consumer price index change per year at the moment when E = 1, 000, P = 200, and F = 5?
Each month, Uncle Joe’s Auto Parts uses exponential smoothing (with α = 0.25) to predict the number of barrels of brake fluid that will be sold during the next month. In June Uncle Joe forecast that he would sell 37 barrels of brake fluid during July. Uncle Joe actually sold 43barrels in July. What is Uncle Joe’s forecast for brake fluid sales in August and September?
If a company A manufactures t-shirts and sells them to retailers for $9.80 each. It has fixed cost of $2625 related to the production of the t-shirts and production cost per unit is $2.30. Company B also manufactures t-shirts and sell them directly to consumers. The demand for this product is p= 15-x/125, its production cost per unit is $5.00 and its fixed cost is the same as company A. 1. Derive the total revenue function, R(x) for company B. 2. Derive the profit function, for company B. 3. How many t- shirts should company B sell to in order to break even. 4. How many t- shirts must company B sell to maximise its profit.
If sales are 41,576 and 47,987 for 2018 and 2019, what would you forecast for 2020 using exponential smoothing with a weight of 0.7 ? (The first forecast is equal to the actual value of the preceding year).
In 1967, the population of Clements, PA was 7,000, and in 1974 the population was 12,000. Should the populatio grow linearly, in what calendar year (to the nearest whole calendar year), would it reach 50,000? If instead the population grew exponentially, how many fewer years would it take to reach 50,000?
For each situation, indicate whether the appropriate model would be Linear or Exponential. Be prepared to give reasons. Choose carefully: you only get one attempt for each of these. (a) Rashida received a $5,000 bonus this year. She put the money in savings account. Each week, she spends 5% of the balance in the account on something special. Select an answer (b) Your Keurig machine will lose 20% of of its value every three years. Select an answer ✓ (c) Cameron adds $130 to his savings account every week when he gets paid. Select an answer ✓ (d) A dog groomer charges according to your dog's weight. If your dog is 18 pounds and under, the groomer charges $25. If your dog is over 18 pounds, they charge $25, plus an additional $4 for each pound over 18. Select an answer ✓ Use the "Add Work" button to explain your reasoning for each situation. Add Work Check Answer
If $11,000 is invested at 3.6% simple annual interest, find the investment's future value in 5 years. > Next Question MacBook Air 吕0 F3 O00 F4 F2 F5 F6 F7 F8 F9 F10 24 4 # & * 3 7 8 W E R Y U P S D F G H J K C V B
How could I find the number of years?
Q5) A project that will cost $50,000 today, $100,000 in two years from today and $150,000 in five years from today will yield net returns of $5,000 monthly for 10 years. If the cost of money is 9% compounded annually, find the NPV of the project. (16.2)
In a given year, the U.S. federal income tax owed by a married couple filing jointly can be found from the following table. Married Filing Jointly Taxable Income $0-$18,550 T(x) = $18,551-$75,300 $75,301-$151,900 amount over $75,300 $413,351-$466,950 Tax Rate 10% $1,855 plus 15% of the amount over $18,550 $10,367.50 plus 25% of the $151,901-$231,450 amount over $151,900 $466,951 or more if $29,517.50 plus 28% of the $231,451-$413,350 amount over $231,450 $51,791.50 plus 33% of the $130,578.50 plus 39.6% of the amount over $466,950 (a) For incomes up to $151,900, write the piecewise defined function T with input x that models the federal tax dollars due as a function of x, the taxable income dollars earned. $111,818.50 plus 35% of the amount over $413,350 0 < x≤ 18,550 if 18,550 < x≤ 75,300 if 75,300 < x≤ 151,900 (b) Use the function to find T(40,000). $ (c) Find the tax due on a taxable inco of $90,000. $ (d) A friend tells Jack Waddell not to earn any money over $75,300 because it…

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