The price of a video game is $50, and 40 games are sold each day. For each $1.00 the price is raised, the store sells one fewer video game. If each video game costs $18 to make, how much should the price be set at to maximize profits? Use the completing-square method and provide explanations throughout each step.

The price of a video game is $50, and 40 games are sold each day. For each $1.00 the price is raised, the store sells one fewer video game. If each video game costs $18 to make, how much should the price be set at to maximize profits? Use the completing-square method and provide explanations throughout each step.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter5: Linear Inequalities

Section5.6: Graphing Ineualities In Two Variables

Problem 29PPS

See similar textbooks

Similar questions

Golfing lessons Macy decides to take golfing lessons. If her new set of golf clubs cost 250 and private lessons are 60 per hour lesson, what is the maximum number of lessons she can take if the total spent for lessons and purchasing clubs is at most 970?
For exercises 17 and 18, use this scenario: A retired woman has $50,000 to invest but needs to make $6,000 a yearfrom the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it shewants to put in a CD that pays 7%. 18. Set up and solve the equation for how much the woman should invest in each option to sustain a $6,000 annual return.
In the situation of the example, how long could you keep the car if your expense account allowed 242?
Brenda’s best friend is having a destination wedding and the event will last three days. Brenda has $500 in savings and can earn $15 an hour babysitting. She expects to pay $350 airfare, $375 for food and entertainment and $60 a night for her share of a hotel room. How many hours must she babysit to have enough money to pay for the trip?
Dental billing The billing schedule for dental X-rays specifies a fixed amount for the office visit plus a fixed amount for each X-ray exposure. If 2 X-rays cost 37 and 4 cost 54, find the cost of 5 exposures.
The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising "Eat-a-thon." The society will charge students 53¢ per serving of pasta. The only expenses the society will incur are the cost of the pasta, estimated at 17¢ per serving, and the $360 cost of renting the facility for the evening.
Amadi buys a $500 couch, which will decrease in market value each week by $15. At the same time, he agrees to sell the couch to his friend Ana when she has saved enough money to buy the couch at its market value. If Ana starts with $40 saved up already and saves $5 each week, in how many weeks will she have enough money to afford the market value of the couch? A. 23 B. 25 C. 26 D. 28 E. 29
A recently graduated music major wants to open her open Music Lesson business. She is looking at what price to charge for her lessons and want to see at what price she would break-even. She can sign up a total of 50 lesson slots per week. For her equipment and variable expenses it will cost her $30. Her fixed costs are $2,000. In order to break even, the music teacher would need to charge $ ______.00 for each lesson slot.
A salesperson earns a base salary of $1600 per month, plus a commission equal to 3% of her total sales for the month.For example, if the salesperson's monthly sales total was $500, she would earn a commission equal to 3% of $500. Her total monthly earnings would be equal to her base salary of $1600 plus her commission.Complete the chart by calculating both the salesperson's commission for each monthly sales total and their total monthly earnings. Monthly SalesTotal CommissionEarned Total MonthlyEarnings $0 $ $ $1000 $ $ $2000 $ $ $3000 $ $
A study of the finances of Armen motors has shown that the profit of the company can be described by the equation : P = -2 (N-420)² + 650,000 where "P" represents profit in dollars, "N" represents number of cars sold. [1,1,1,mark] a) What is the maximum possible profit? B) How many cars must be sold to achieve this profit? C) calculate the amount of profit if 480 cars sold.