Concept explainers
Maximum Revenue The total revenue
where p is the price per box (in dollars).
(a) Find the revenues when the prices per box are
(b) Find the unit price that yields a maximum revenue. What is the maximum revenue? Explain your results.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Bundle: College Algebra, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's College Algebra, 10th Edition, Single-Term
- Explain how to find the input variable in a word problem that uses a linear function.arrow_forwardMaximum Revenue The total revenue R earned (in thousands of dollars) from manufacturing handheld video games is given by R(p)= 25p2+1200p, where p is the price per unit (in dollars). (a) Find the revenues when the prices per unit are $20,$25and$30. (b) Find the unit price that yields a maximum revenue. What is the maximum revenue? Explain.arrow_forwardNeglecting air resistance, the distance s an object falls varies directly as the square of the duration t of the fall. An object falls a distance of 144 feet in 3 seconds. How far does it fall in 6 seconds?arrow_forward
- How do you solve an equation i algebraically? ii graphically?arrow_forwardPower Consumption: The figure shows the power consumption in San Francisco for a day in September (P is measured in megawatts; t is hours stating at midnight). (a) What was the power consumption at 6:00 A.M? At 6:00 P.m.? (b) When was the power consumption the lowest? (c) Find the net change in the power consumption from 9:00 A.M. to 7:00 P.M/arrow_forwardFill in the blanks. The mathematical model y=2xis an example of variation.arrow_forward
- Grade Point Average In many universities students are given grade points for each credit unit according to the following scale: A 4 points B 3 points C 2 points D 1 point F 0 point For example, a grade of A in a 3-unit course earns 43=12 grade points and a grade of B in a 5-unit course earns 35=15 grade points. A students grade point average GPA for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)8=3.375. a Find a formula for the GPA of a student who earns a grade of A in a units of course work, B in b units, C in c units, D in d units and F in f units. b Find the GPA of a student who has earned a grade of A in two 3-unit courses, B in one 4-unit courses and C in three 3-unit courses.arrow_forwardWhat is interpolation when using a linear model?arrow_forwardHealth The body mass index (BMI) is a number that can be calculated for any individual as follows: Multiply a person's weight by 703 and divide by the person's height squared. That is, 703w B = where w is in pounds and h is in inches. The National Heart, Lung and Blood Institute uses the body mass index to determine whether a person is "overweight" (25 < B< 30) or "obese" (B = 30). Source: The National Institutes of Health. (a) Calculate the body mass index for St. Louis Rams offensive tackle Jake Long, who weighs 317 lb and is 6'7" tall. aB and and interpret. (b) Calculate (c) Using the factthat 1 in. = 0.0254 m, and 1 lb. = 0.4536 kg., transform this formula to handle metric units.arrow_forward
- below. According to a reputable magazine, the dropout rate for all college students with loans is 30%. Suppose that 66 out of 200 random college students with loans drop out. Complete parts (a) and (b) Click the icon to view a graphical technology output for this situation. a. Give the null and alternative hypotheses to test that the dropout rate is not 30%. Ho: P Ha P (Type integers or decimals. Do not round.) b. Report the test statistic (z) from the output given. z= ☐ (Type an integer or a decimal. Round to four decimal places as needed.)arrow_forwardi need this answered plsarrow_forwardHelparrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningIntermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt