Answered: (1) If the total cost of a firm is C(x)…

(1) If the total cost of a firm is C(x) =1.5x² – 5x² + 20x +5. Find the marginal cost (in dollars) when 25 units are produced and sold.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.CR: Chapter Review

Problem 16E: Digital cameras A company that produces and sells digital cameras has determined that the total...

See similar textbooks

Related questions

Q: (1) If the total cost of a firm is C(x)=1.5x' – 5x² + 20x+5. Find the marginal cost (in dollars)…

A: Since you have posted multiple questions and we can answer one question. So answered question number…

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x – 6200 and the cost is C(x) = 0.02x + 38, for…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the marginal profit function if cost and revenue are given by C(x)= 158 + 0.9x and R(x)= 6x…

A: We have to find the marginal profit if cost and revenue are given by C(x)=158+0.9x and…

Q: Find the cost function if the marginal cost function is C'(x) = 12x-5 and the fixed cost is $10.…

A: Cost function is calculated by integrating marginal cost function. Using the given fixed cost, the…

Q: 1. The cost (in pesos) of producing x corkboards is given by x2 + 20x + 500, while the price (in…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: If the marginal cost for a product is MC=2x+5 and the production of 10 units results in a total cost…

A: Given that marginal cost for a product is MC=2x+5 This means:…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 240 +0.6x and R(x) =…

A: Recall: Profit Function, P(x)=R(x)-C(x) ; where , C(x) is the cost function and R(x) is the Revenue…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 255 + 0.3x and R(x) =…

A: Given: C(x)= 255+0.3x R(x)= 7x- 0.01x2

Q: Find the marginal profit function if cost and revenue are given by C(x) = 154 + 0.3x and R(x) = 2x–…

Q: 19. Suppose that for a company that produces x quantity of items the marginal cost function is given…

Q: Find the marginal profit function if cost and revenue are Pix- given by C(x)=215 +0.7x and R(x) = 3x…

Q: Find the cost function if the marginal cost function is C'(x) = 12x - 5 and the fixed cost is $8.…

A: If marginal cost function isC'(x)=12x-5Then cost function is given by C(x)=∫C'(x) dxC(x)=∫12x-5…

Q: 3. The cost (in pesos) of producing x toys is given by x² + 100x + 2000, while the price (in pesos)…

Q: 2. If the marginal profit is P'(x) = x3 – 2x + 100 and the profit for selling 10 items is $2000,…

A: given marginal profit euation isP'(x)=x3-2x+100profit for selling 10 items is $2000to find profit…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given cost function C and revenue function R is

Q: Suppose that the total cost in dollars of producing x thousand units of a product is given by C(x) =…

Q: A firm knows that its marginal cost for a product is overline MC =2x+15 , that its marginal revenue…

Q: Find the cost function if the marginal cost function is C'(x) = 3x - 4 and the fixed cost is $8. ...…

Q: Find the cost function if the marginal cost function is C'(x) = 6x - 4 and the fixed cost is $11.…

A: Given C'(x)=6x-4 To find C(x) we take integral of C'(x) ∫C'(x) dx=∫6x-4 dxC(x)= 6x22-4x+cwhere c…

Q: Find the cost function if the marginal cost function is C'(x) = 9x - 6 and the fixed cost is $11.…

A: We have to find the cost function

Q: Find the cost function if the marginal cost function is C'(x) = 6x -7 and the fixed cost is $7.

Q: Find the marginal profit function if cost and revenue are given by C(x) = 232 + 0.7x and R(x) = 4x -…

A: Given: C(x) = 232+0.7x R(x)= 4x-0.06x2

Q: Find the marginal profit function if cost and revenue are given by C(x) = 151 + 0.5x and R(x) = 8x –…

Q: 9. If the cost of manufacturing x items is C(x) = x³ + 20x² + 90x + 15. Find the marginal cost…

Q: 6. Suppose that for x2 1000, the dollar cost of producing a video cameras is C(x) = 500x - 0.003²…

Q: A perfectly competitive firm maximizes its profits when it produces 1000 units. It charges $1.50 per…

Q: Find the cost function if the marginal cost function is C'(x) = 6x – 5 and the fixed cost is $6. ..…

Q: . If the profit for a product is given by P(x) = 20Vx +1– 22x – 22 thousand dollars, what is the…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 170 +0.5x and R(x) = 2x -…

A: To differentiate a function we use the following differentiation rules: Sum rule Difference rule…

Q: The cost function for producing x items is C(x)=30,000 +200x - 0.10x2 . The revenue function is R(x)…

A: To find the marginal cost we need C'(x) C(x)=30,000 +200x - 0.10x2 C'(x)=200-0.20x

Q: If the total cost of a firm is C(x) = 1.5x3 - 5x2 + 20x + 5. Find the marginal cost (in Dollars)…

A: Given that,the total cost of a firm is Cx=1.5x3-5x2+20x+5We need to compute the marginal cost in…

Q: (1) If the total cost of a firm is C(x)=1.5x – 5x + 20x+5. Find the marginal cost (in dollars) when…

Q: 29. Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is…

Q: A company's marginal cost function is MC = 28x4/3 - 14x3/4 + 1, where x is the number of units, and…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 194 + 0.1x and R(x)=…

A: We can make it easier for you

Q: Find the cost function if the marginal cost function is C'(x)=12x-5 and the fixed cost is $10.

Q: the marginal cost function associated with producing x widgets is given by C'(x)= -0.02x+50 where…

Q: The production costs per day for some widget is given by, C(x) = 2500-10x-0.01x²+0.0002x³ What is…

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x - 6200 and the cost is C(x) = 0.02x + 38, for…

Q: If the total cost of a firm is C(x)=1.5x3-5x2+20x+5; find the marginal cost (in dollars) when 25…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: Given: Cost function=Cx=184+0.3xRevenue function=Rx=4x-0.05x2 To find Marginal Profit function=P'(x)

Q: (1) If the total cost of a firm is C(x) =1.5x-5x +20x +5. Find the marginal cost (in dollars) when…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 23. Suppose that total national consumption is given by a C(x)=200–0.6x–0.05x0“, where x is the…

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x –- 6200 and the cost is C(x) = 0.02x + 38,…

Q: (1) The revenue for a product is R(x) = −0.004x2 2 + 21x − 6200 and the cost is C(x) = 0.02x + 38,…

A: The solution is given below

Q: Given the cost function c(x)=140 + 0.2x^2 for producing x item. Determine the marginal cost…

Q: 31) Find a company's total-cost function if its marginal cost function is C'(x)=5x2-7x+4 and C(6)=…

A: Marginal cost function of a company is given is , C'(x) = 5x2 - 7x + 4 Also C(6) = 260 We have to…

Q: The cost (in dollars) of producing x corkboards is given by x2+20x+500, while the price (in dollars)…

A: According to question,Given Cost function,Let Cx = x2 + 20x + 500,andDemand Function,px = 100 - x

Q: A small business determined that the price-demand and cost functions for producing and selling x…

A: We have to find the marginal profit.

Q: Suppose that the total revenue function for a commodity is R(x)=25x-0.5x^2 a. Find the x…

Question

+
(D Page view
AN Read aloud | V Draw
E Highlight
-
(1) If the total cost of a firm is C(x) =1.5x – 5x² + 20xr+5. Find the marginal cost (in dollars)
when 25 units are produced and sold.
(2) The number q of roller blades a firm is willing to sell per week at a price of $p is given by

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A company determines that its weekly profit from manufacturing and selling x units of a certain item is given by Px=-x3+3x2+2880x-500. Use a graphing utility to find the weekly production rate that will maximize the profit.
Minimizing cost A company that produces and sells digital cameras has determined that the total weekly cost C(x), in dollars of producing x digital cameras is given by the function C(x)=1.5x2144x+5856. Determine the production level that minimizes the weekly cost for producing the digital cameras and find that weekly minimum cost.
Digital cameras A company that produces and sells digital cameras has determined that the total weekly cost C of producing x digital cameras is given by the function C(x)=1.5x2150x+4850. Determine the production level that minimizes the weekly cost for producing the digital cameras and find that weekly minimum cost.
A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.
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.