Concept explainers
(a)
Write an expression for the company’s total revenue in terms of
The expression revenue in terms of x is given by
Given:
The price p is given as
Calculation:
It has been given that
Therefore, the revenue is given by
Hence, the expression revenue in terms of x is given by
(b)
Write a function for the company’s profit P to make x cameras.
The profit function given by
Given:
The price p is given as
The cost of making one camera is $30.
Calculation:
It has been given that
Cost of making one camera is $30.
Hence, the cost of making x cameras is given by
Therefore, the profit function is given by
(c)
Write and solve an equation to find a lesser number of cameras that the company could produce and still make the same profit.
The company could produce
Given:
The profit function given by
The company produces 2 million of cameras and generate a profit of $60,000,000.
Calculation:
It has been given that
For the profit to be $60,000,000.
In order to find the values for x, graph the equations
The positive x -value other than
So, the company could produce
(d)
Do all the solutions in part c makes sense. Explain.
All these solutions don’t make sense. Only the positive values of x will give the number of cameras to generate a profit of $60,000,000.
Given:
The profit function given by
The company produces 2 million of cameras and generate a profit of $60,000,000.
Calculation:
It has been given that
For the profit to be $60,000,000.
In order to find the values for x, graph the equations
From the graph, there are three solutions
Hence, the solution
Therefore, all these solutions don’t make sense. Only the positive values of x will give the number of cameras to generate a profit of $60,000,000.
Chapter 2 Solutions
EBK ALGEBRA 2
- Solve questionsarrow_forwardPatterns in Floor Tiling A square floor is to be tiled with square tiles as shown. There are blue tiles on the main diagonals and red tiles everywhere else. In all cases, both blue and red tiles must be used. and the two diagonals must have a common blue tile at the center of the floor. If 81 blue tiles will be used, how many red tiles will be needed?arrow_forwardFind the values of n, if the points (n + 1, 2n), (3n, 2n + 3) and (5n + 1,5n) are collinear. Find the value of k that the four points (4,1,2), (5, k, 6), (5,1,-1) and (7,4,0) are coplanar. Find the value of r if the area of the triangle is formed by the points (-3,6),(4,4) and (r,-2) is 12 sq units. Find the volume of tetrahedron whose vertices are A(1,1,0), B(-4,3,6), C(-1,0,3) and D(2,4,-5).arrow_forward
- - Consider the following system of linear equations in the variables a,b,c,d: 5a-3b 7c - 2d = 2 2ab 2c+ 5d = -3 → (*) 4a 3b 5d = 3 6a b+2c+ 7d = −7 (a) Solve the system (*) by using Gauss elimination method. (b) Solve the system (*) by using Cramer's rule method.arrow_forwardSolve for a 25 55 30 a=?arrow_forward9:41 … 93 Applying an Exponential Function to Newton's Law of Cooling 60. Water in a water heater is originally Aa ← 122°F. The water heater is shut off and the water cools to the temperature of the surrounding air, which is 60°F. The water cools slowly because of the insulation inside the heater, and the value of k is measured as 0.00351. a. Write a function that models the temperature T (t) (in °F) of the water t hours after the water heater is shut off. b. What is the temperature of the water 12 hr after the heater is shut off? Round to the nearest degree. c. Dominic does not like to shower with water less than 115°F. If Dominic waits 24 hr. will the water still be warm enough for a shower? Mixed Exercises ger-ui.prod.mheducation.comarrow_forward
- Please use the infinite series formula and specify how you did each step. Thank you.arrow_forward8) Solve the given system using the Gaussian Elimination process. 2x8y = 3 (-6x+24y = −6arrow_forward7) Solve the given system using the Gaussian Elimination process. (5x-4y = 34 (2x - 2y = 14arrow_forward
- 33 (a) (b) Let A(t) = = et 0 0 0 cos(t) sin(t) 0-sin(t) cos(t)) For any fixed tЄR, find det(A(t)). Show that the matrix A(t) is invertible for any tЄ R, and find the inverse (A(t))¹.arrow_forwardUse the infinite geometric sum to convert .258 (the 58 is recurring, so there is a bar over it) to a ratio of two integers. Please go over the full problem, specifying how you found r. Thank you.arrow_forwardH.w: Find the Eigen vectors for the largest Eigen value of the system X1+ +2x3=0 3x1-2x2+x3=0 4x1+ +3x3=0arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





