
a)
To find: the profit function P(x) for the given cost and revenue function.
a)

Answer to Problem 104AYU
The profit function P(x) is 23x−0.1x2−400 in dollars.
Explanation of Solution
Given information:
The revenue function is given by
R(x)=30x
The cost function is given by
C(x)=0.1x2+7x+400
Here R,C are in dollars and x is number of selling clock.
Formula used:
Profit function is given by
P(x)=R(x)−C(x)
Calculation:
Consider the cost and revenue function.
C(x)=0.1x2+7x+400 and R(x)=30x
Now, calculate profit function as shown:
P(x)=R(x)−C(x)=30x−(0.1x2+7x+400)=30x−0.1x2−7x−400=23x−0.1x2−400
Therefore, the profit function is P(x)=23x−0.1x2−400 in dollars.
b)
To find: the profitif 30 clocks are sold.
b)

Answer to Problem 104AYU
The profit for 30 clocks is 200 dollars.
Explanation of Solution
Given information:
The revenue function is given by
R(x)=30x
The cost function is given by
C(x)=0.1x2+7x+400
Here R,C are in dollars and x is number of selling clock.
Calculation:
The profit function is P(x)=23x−0.1x2−400 in dollars.
Now, for 30 clocks the profit can be calculated as shown:
P(30)=23(30)−0.1(30)2−400=200
The profit for 30 clocks is 200 dollars.
c)
To interpret: the value of P(30) .
c)

Answer to Problem 104AYU
P(30)=200 means the profit for 30 clocks is 200 dollars.
Explanation of Solution
Given information:
The revenue function is given by
R(x)=30x
The cost function is given by
C(x)=0.1x2+7x+400
Here R,C are in dollars and x is number of selling clock.
Calculation:
The profit function is P(x)=23x−0.1x2−400 in dollars.
Here R,C are in dollars and x is number of selling clock.
P(30)=200 means the profit for 30 clocks is 200 dollars.
Chapter 2 Solutions
Precalculus
Additional Math Textbook Solutions
A First Course in Probability (10th Edition)
Thinking Mathematically (6th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
College Algebra with Modeling & Visualization (5th Edition)
Calculus: Early Transcendentals (2nd Edition)
College Algebra (7th Edition)
- Calculus lll May I please have the semicolon statement in the box defined with explanation? Thank you,arrow_forwardCalculus lll May I please have the solutions for the following blank lines? Thank you,arrow_forwardCalculus lll May I please have the solution for the following example? Thank you,arrow_forward
- Calculus lll May I please have numbers 1 and 2 explanations resolved? Thank you,arrow_forward5:38 Video Message instructor Submit Question ||| Darrow_forward8:38 *** TEMU TEMU -3 -2 7 B 2 1 & 5G. 61% 1 2 -1 Based on the graph above, determine the amplitude, period, midline, and equation of the function. Use f(x) as the output. Amplitude: 2 Period: 2 Midline: 2 ☑ syntax error: this is not an equation. Function: f(x) = −2 cos(πx + 2.5π) +2× Question Help: Worked Example 1 ☑ Message instructor Submit Question ||| <arrow_forward
- 8:39 *** TEMU 5G 60% A ferris wheel is 28 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 4 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. What is the amplitude? 14 meters What is the equation of the Midline? y = 16 What is the period? 4 meters minutes The equation that models the height of the ferris wheel after t minutes is: f(t): = ƒ (3) = ·−14(0) + 16 syntax error: you gave an equation, not an expression. syntax error. Check your variables - you might be using an incorrect one. How high are you off of the ground after 3 minutes? Round your answe the nearest meter. ||| <arrow_forwardcan you solve this question step by step pleasearrow_forwardS cosx dx sin -3/ (x) Xarrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





