9. Revenue A bus company charges $10 per person for a sightseeing trip if 30 people travel in a group. If for each person above 30 the company reduces the charge per per- son by $0.20, how many people will maximize the total revenue for the bus company?

9. Revenue A bus company charges $10 per person for a sightseeing trip if 30 people travel in a group. If for each person above 30 the company reduces the charge per per- son by $0.20, how many people will maximize the total revenue for the bus company?

Name: 9. Revenue A bus company charges $10 per person for asightseeing trip
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: 9. Revenue A bus company charges $10 per person for asightseeing trip if 30 people travel in a group. If for eachperson above 30 the company reduces the charge per per-son by $0.20, how many people will maximize the totalrevenue for the bus company?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 23E: Inventories An electronics store manager stocks from 20 to 30 IBM-compatible computers and from 30...

See similar textbooks

Similar questions

Making furniture Two woodworkers, Chase and Devin, get 100 for making a table and 80 for making a chair. On average, Chase must work 3 hours and Devin 2 hours to make a chair. Chase must work 2 hours and Devin 6 hours to make a table. If neither wishes to work more than 42 hours per week, how many tables and how many chairs should they make each week to maximize their income? Find the maximum income. Table Chair Time Available Devins Time hr 6 2 42 Chases Time hr 2 3 42 Income 100 80
Inventories An electronics store manager stocks from 20 to 30 IBM-compatible computers and from 30 to 50 Apple computers. There is room in the store to stock up to 60 computers. The manager receives a commission of 50 on the sale of each IBM-compatible computer and 40 on the sale of each Apple computer. If the manager can sell all of the computers, how many should she stock to maximize her commissions? Find the maximum commission. Inventory IBM Apple Minimum 20 30 Maximum 30 50 Commission 50 40
In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175 on each business return, find the maximum profit. An accountant prepares tax returns for individuals and for small businesses. On average, each individual return requires 3 hours of her time and 1 hour of computer time. Each business return requires 4 hours of her time and 2 hours of computer time. Because of other business considerations, her time is limited to 240 hours, and the computer time is limited to 100 hours. If she earns a profit of 80 on each individual return and a profit of 150 on each business return, how many returns of each type should she prepare to maximize her profit?
Maximizing storage are A farmer wants to partition a rectangular feet storage are in a corner of his barn, as shown in the illustration. The barn walls from two sides of the stall, and the farmer has 50 feet of partition for the remaining two sides. What dimensions will maximize the area?
A manufacturer produces two models of television stands. The table at the left shows the times (in hours) required for assembling, staining, and packaging the two models. The total times available for assembling, staining, and packaging are 3750 hours, 8950 hours, and 2650 hours, respectively. The profits per unit are $30 for model I and $40 for model II. What is the optimal inventory level for each model? What is the optimal profit?
Production Manufacturing DVRs and TVs requires the use of the electronics, assembly, and finishing departments of a factory, according to the following schedule: Hours for DVR Hours for TV Hours Available per Week Electronics 3 4 180 Assembly 2 3 120 Finishing 2 1 60 Each DVR has a profit of 40, and each TV has profit of 32. How many DVRs and TVs should be manufactured weekly to maximize profit? Find the maximum profit.
Making crafts Two artists, Nine and Rob, make yard ornaments. They get 80 for each wooden snowman they make and 64 for each wooden Santa Claus. On average, Nina must work 4 hours and Rob 2 hours to make a snowman. Nina must work 3 hours and Rob 4 hours to make a Santa Claus. If neither wishes to work more than 20 hours per week, how many of each ornament should they make each week to maximize their income? Find the maximum income. Snowman Santa Claus Time Available Robs Time hr 2 4 20 Ninas Time hr 4 3 20 Income 80 64