The O'Neill Shoe Manufacturing Company will produce a special-style shoe if the order size is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed cost of $2,625 for the production setup. The variable cost is $55 per pair, and each pair sells for $80. (a) Let x indicate the number of pairs of shoes produced. Develop a mathematical model for the total cost (C) of producing x pairs of shoes. C = (b) Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes. P = (c) How large must the shoe order be before O'Neill will break even? x =

The O'Neill Shoe Manufacturing Company will produce a special-style shoe if the order size is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed cost of $2,625 for the production setup. The variable cost is $55 per pair, and each pair sells for $80. (a) Let x indicate the number of pairs of shoes produced. Develop a mathematical model for the total cost (C) of producing x pairs of shoes. C = (b) Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes. P = (c) How large must the shoe order be before O'Neill will break even? x =

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter9: Applications Of Cost Theory

Section: Chapter Questions

Problem 1.2CE

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The O’Neill Shoe Manufacturing Company will produce a special-style shoe if the ordersize is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed cost of $2000 for the production setup. The variable cost is $60 per pair, and each pair sells for $80.a. Let x indicate the number of pairs of shoes produced. Develop a mathematical modelfor the total cost of producing x pairs of shoes.b. Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes.c. What is the breakeven point?
From a certain place K, 2000 people set off for work in the distant place S in the morning by car. Each of the drivers must decide whether to come to place S via point G or via point D (see the directed graph below). The travel time on segments G-S and K-D is not dependent on the number of drivers: each driver traverses the G-S segment in 60 minutes, and the K-D segment in 45 minutes, regardless of the number of drivers. However, the travel time on segments K-G and D-S depends on the number of drivers: if x drivers travel on the K-G segment, each driver on this segment consumes 0.005x minutes; if x drivers travel on the D-S segment, each driver on this segment consumes 0.01x minutes (see the directed graph below). Assume that all people start simultaneously and do not know the decisions of other people. Find all pure Nash equilibria of the game.
Rail Tours, Inc., sells packaged tours on rail lines, including gourmet meals and a reserved bed. The most popular tours are in the autumn, when foliage colors are at their peak. The overnight package for Saturday and Sunday morning are especially heavily booked. A market survey firm has just completed a study in which they conclude that if the package cost is $200 per couple, then Rail Tours can expect to sell 400 spaces on a typical Saturday. If the price is raised to $225, then unit sales will drop to 390. If the price is raised further to $250, unit sales drop to 380. a) From the data given, write down the demand equation and determine its intercepts. Are there any precautions needed when operating at the extreme ends of the demand curve?b) The survey firm also reports that if per capita income changes, Rail Tours can expect a large change in bookings. In particular, if per capita income falls by 1%, then bookings will tend to fall by about 2%. Are tour packages a normal good?…
A manufacturer of a new patented product has found that he can sell 70 units a week to the customer if the price is $48. In error, the price was recently advertised at $78 and as a result, only 40 units were sold in a week. The manufacturers fixed costs of production are $1,710 a week and variable costs are $9 per unit. You are required to: d. Assuming a sudden change in trading conditions resulting in a 20% reduction in demand at all price levels, to find the equation of the new demand function and to recommend how the manufacturer should respond.
1-24 A couple of entrepreneurial business students at State University decided to put their education into practice by developing a tutoring company for business students. While private tutoring was offered, it was determined that group tutoring before tests in the large statistics classes would be most beneficial. The students rented a room close to campus for $300 for 3 hours. They developed handouts based on past tests, and these handouts (including color graphs) cost $5 each. The tutor was paid $25 per hour, for a total of $75 for each tutoring session. (a) If students are charged $20 to attend the session, how many students must enroll for the company to break even? (b) A somewhat smaller room is available for $200 for 3 hours. The company is considering this possibility. How would this affect the break-even point?
Need complete solution. A company produces and sells a consumer product and thus far has been able to control the volume of the product by varying the selling price. The company is seeking to maximize its net profit. It has been concluded that the relationship between price and demand, per month, is approximately D = 500 - 5p, where p is the price per unit in dollars. The fixed cost is $1,000 per month, and the variable cost is $20 per unit. Obtain the answer mathematically to the following questions: a.What is the optimal number of units that should be produced and sold per month? b. What is the maximum profit per month? c.What are the breakeven sales quantities and the range of profitable demand volume?
Every year in September, the NFL (National Football League) announces official prices of their next Super bowl tickets. The official ticket prices for 2022 Super bowl ticket in the NFL official websites started from $6,800 per person and it was up to over $81,800 per person depending on the location of the seats from the field. However, about three fourth of all tickets were already distributed to the NFL teams. The other one fourth are distributed to the media, NFL partners and sponsors. As a result, a small fraction of a total of about 70,000 tickets were sold in the secondary market. Those tickets were available to buy and sell in the official NFL online sites and other ticket brokers. Given the limited supply of tickets available to the NFL fans to purchase, the actual prices are dominated by the wide fluctuation of demand caused by many factors such as the venue of the game, the winning teams for the championship match, the packages of tickets offered by the brokers, and the…
Mathematical processes can lead to a kind of model of a thing, from which insights can be gained about the thing itself. Any mathematical relationships arrived at by manipulating abstract statements may or may not convey something truthful about the thing being modelled. (For example, if 2 cups of water are added to 3 cups of water and the abstract mathematical operation 2+3 = 5 is used to calculate the total, the correct answer is 5 cups of water. However, if 2 cups of sugar are added to 3 cups of hot tea and the same operation is used, 5 is an incorrect answer.)
Oregon Fiber Board makes roof liners for the automotiveindustry. The manufacturing manager is concerned aboutproduct quality. She suspects that one particular failure, tears in the fabric, is related to production-run size. An assistantgathers the following data from production records: a. Draw a scatter diagram for these data.b. Does there appear to be a relationship between run sizeand percent failures? What implications does this datahave for Oregon Fiber Board’s business?
The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $60,000. The variable cost of recapping a tire is $9. The company charges $25 to recap a tire. For an annual volume of 12,000 tires, determine the total cost, total revenue, and profit. Determine the annual break-even volume for the Retread Tire Company operation. Graphically illustrate the break-even point using a one way table that relates volume to profit.
I need an explanation for part b) of the following questions. Scatter Diagrams and High-Low Cost EstimationFrom April 1 through October 31, Will County Highway Department hires temporary employees to mow and clean the right-of-way along county roads. The County Road Commissioner has asked you to help her in determining the variable labor cost of mowing and cleaning a mile of road. The following information is available regarding current-year operations: Month Miles Mowedand Cleaned LaborCosts April 350 $12,000 May 300 11,250 June 400 13,500 July 250 8,250 August 375 12,750 September 200 7,500 October 100 7,200 Use the information from the high- and low-volume months to develop a cost-estimating equation for monthly labor costs. Monthly labor costs = Answer + Answer X Plot the data on a scatter diagram. Using the information from representative high- and low volume months, use the high-low method to develop a cost-estimating equation for monthly…
The following information was gathered by the managerial accountant to estimate the 2nd quarter's utility cost: Months Utility Cost Direct labor hours January ₱8,520 1809 February ₱7,628 1421 March ₱5,712 912 April ₱6,746 1102 Summation of X 5,244 Summation of Y 28,606 Summation of XY 38,895,504 Summation of X-squared 7,337,870 Using the regression analysis, what is the estimated cost-function for the 2nd quarter?