Mr. Ripoff's gas station can sell 355 gallons of gas per day at $4.00 per gallon and 164 gallons at $5.00 per gallon. Mr. Ripoff pays $1.20 per gallon for the gas and has daily fixed costs of $500. Find the unit price p that will maximize revenue: Find the unit price p that will maximize profit: What is the maximum possible daily profit? dollars per gallon. dollars dollars.

Mr. Ripoff's gas station can sell 355 gallons of gas per day at $4.00 per gallon and 164 gallons at $5.00 per gallon. Mr. Ripoff pays $1.20 per gallon for the gas and has daily fixed costs of $500. Find the unit price p that will maximize revenue: Find the unit price p that will maximize profit: What is the maximum possible daily profit? dollars per gallon. dollars dollars.

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 21E: Making furniture Two woodworkers, Chase and Devin, get 100 for making a table and 80 for making a...

See similar textbooks

Similar questions

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 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
A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three ingredients, which are available in the limited quantities shown in the table. The profit on each bag of fertilizer x is 6 and on each bag of y is 5. How many bags of each product should be produced to maximize the profit? Ingredient Number of Pounds in Fertilizer x Number of Pounds in Fertilizer y Total number of Pounds Available Nitrogen 6 10 20,000 Phosphorus 8 6 16,400 Potash 6 4 12,000
The manufacturer of a weight training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fixed costs each month of $25,500. (a) Find the cost function C when x benches are manufactured. (b) Find the revenue function R when x benches are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.
Use your schools library, the Internet, or some other reference source to find the real-life applications of constrained optimization.
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000. (a) Find the cost function C when x energy drinks aremanufactured. (b) Find the revenue function R when x drinks are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the breakeven point means.
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?