Kindly do it correct and handwritten only otherwise skip I am again writing handwritten Marginal Cost Functions The management of a division of a major conglamerate has determined that the daily marginal cost function associated with producing theirhot-air com poppers is given byC'(x) - 0.00009x - 0.009x + 10where C(x) is measured in dollars/unit and x denotes the number of units manufactured. Management has also determined that the daily fixed cost incurced in producingthese corn poppers is $800, Find the total cost incurred by this conglomerate in producing the first 500 com poppers,

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Answered: Marginal Cost Functions The management…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

Section: Chapter Questions

Problem 8PS

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Maximum Sales Growth This is a continuation of Exercise 10. In this exercise, we determine how the sales level that gives the maximum growth rate is related to the limit on sales. Assume, as above, that the constant of proportionality is 0.3, but now suppose that sales grow to a level of 4 thousand dollars in the limit. a. Write an equation that shows the proportionality relation for G. b. On the basis of the equation from part a, make a graph of G as a function of s. c. At what sales level is the growth rate as large as possible? d. Replace the limit of 4 thousand dollars with another number, and find at what sales level the growth rate is as large as possible. What is the relationship between the limit and the sales level that gives the largest growth rate? Does this relationship change if the proportionality constant is changed? e. Use your answers in part d to explain how to determine the limit if we are given sales data showing the sales up to a point where the growth rate begins to decrease.
Marginal Cost Functions The management of National Electric has determined that the daily marginal cost function associated with producing their automatic drip coffeemakers is given by C'(x) = 0.00003x2 − 0.03x + 24 where C'(x) is measured in dollars per unit and x denotes the number of units produced. Management has also determined that the daily fixed cost incurred in producing these coffeemakers is $900. What is the total cost incurred by National in producing the first 500 coffeemakers/day?
Net change in cost A company’s marginal cost function is .1x2 - x + 12 dollars, where x denotes the number of units produced in 1 day. (a) Determine the increase in cost if the production level is raised from x = 1 to x = 3 units. (b) If C(1) = 15, determine C(3) using your answer in (a).
The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x)=28x+37,960 and R(x)=200x−0.1x2 for 0≤x≤2000. (A) Find the value of x where the graph of R(x) has a horizontal tangent line. (B) Find the profit function P(x). (C) Find the value of x where the graph of P(x) has a horizontal tangent line. (D) Graph C(x), R(x), and P(x) on the same coordinate system for 0≤x≤2000. Find the break-even points. Find the x-intercepts of the graph of P(x).
Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that the daily marginal cost function associated with producing these toaster ovens is given by C'(x) = 0.0006x2 − 0.14x + 23 where C'(x) is measured in dollars per unit and x denotes the number of units produced. Management has also determined that the daily fixed cost incurred in the production is $900. Find the total cost incurred by Ditton in producing the first 300 units of these toaster ovens per day. What is the total cost incurred by Ditton in producing the 201st through 300th units/day?
Use Application of Derivatives A wire of length L is to be cut into two pieces, one to form a square and the other to form an equilateral triangle. How should the wire be divided to maximize or to minimize the sum of the areas of the square and triangle?
Marginal Revenue The demand function for a certain boat company's 34 ft Sundancer yacht is p = 300 − 0.01x ln(x) where x denotes the number of yachts and p is the price per yacht in hundreds of dollars. (a) Find the revenue function R(x) and the marginal revenue function R'(x) for this model of yacht. R(x) = R'(x) = (b) Use the result of part (a) to estimate the revenue to be realized from the sale of the 425th 34 ft Sundancer yacht. (Round your answer to the nearest dollar.) $_________
Marginal Revenue Functions The management of National Electric has determined that the daily marginal revenue function associated with producing and selling their coffeemakers is given by R'(x) = −0.03x + 45 where x denotes the number of units produced and sold and R'(x) is measured in dollars per unit. (b) What is the demand equation relating the unit price to the quantity of coffeemakers demanded?
Application of derivative Optimization We are going to fence in a rectangular field that encloses 200 m2. If the cost of the material for of one pair of parallel sides is $3/m and cost of the material for the other pair of parallel sides is $8/m determine the dimensions of the field that will minimize the cost to build the fence around the field.
Application of derivative Optimization We are going to fence in a rectangular field. Starting at the bottom of the field and moving around the field in a counter clockwise manner the cost of material for each side is $6/ft, $9/ft, $12/ft and $14/ft respectively. If we have $1000 to buy fencing material determine the dimensions of the field that will maximize the enclosed.
Marginal Revenue The management of Ditton Industries has determined that the daily marginal revenue function associated with selling x units of their deluxe toaster ovens is given by the following, where R'(x) is measured in dollars/unit. R'(x) = −0.1x + 40 Find the daily total revenue realized from the sale of 240 units of the toaster oven. $_______ Find the additional revenue realized when the production (and sales) level is increased from 240 to 340 units. $_______
Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that the daily marginal cost function associated with producing these toaster ovens is given by where C'(x) is measured in dollars per unit and x denotes the number of units produced. Management has also determined that the daily fixed cost incurred in the production is $900. C'(x) = 0.0006x2 − 0.14x + 24 a. Find the total cost incurred by Ditton in producing the first 300 units of these toaster ovens per day. b.What is the total cost incurred by Ditton in producing the 201st through 300th units/day?

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