Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 7.3, Problem 8P
Summary Introduction
To calculate: The optimal price in yen and the optimal revenue when converted to dollars.
Non-linear programming (NLP):
Non-linear programming (NLP) is used in complex optimization problems where the objectives or constraints or sometimes both are non-linear functions of the decision variables. A model can be termed as non-linear for more than one reason.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Sherri told Liz that her firm will compete on setting prices because that's good business. Which statement best
explains her position?
a Sherri is talking about skimming.
b) Sherri wants her company to have a loss-leader pricing strategy.
)Sherri is talking about EDLP, or sustained discount pricing. If it works for Walmart and Costco, it can work
for her.
d) Sherri needs to learn that the goal of pricing strategy is to match the competition by any means necessary,
and compete on other factors.
At a student café, there are equal numbers of two types of customers with the following values. The café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate).
Students with Early Classes
Students without Early Classes
Coffee
73
63
Banana
53
103
The marginal cost of coffee is 5 and the marginal cost of a banana is 20.
The café owner is considering three pricing strategies:
1.
Mixed bundling: Price bundle of coffee and a banana for 166, or just a coffee for 73.
2.
Price separately: Offer coffee at 63, price a banana at 103.
3.
Bundle only: Coffee and a banana for 126. Do not offer goods separately.
Assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle.
For simplicity, assume there is just one student with an early class, and one student…
Given the below cost, c and price, p, functions for a product of quantity x:
c(x)=100+e ln(x)
p(x) =500-5x
a. Does the problem indicate an elastic demand at price $250?
b. How does the optimum quantity change if the government decides to apply 20% tax to the total revenue of this product?
Chapter 7 Solutions
Practical Management Science
Ch. 7.3 - Prob. 1PCh. 7.3 - Prob. 2PCh. 7.3 - Pricing Decisions at Madison The Madison Company...Ch. 7.3 - Prob. 4PCh. 7.3 - Prob. 5PCh. 7.3 - Prob. 6PCh. 7.3 - Prob. 7PCh. 7.3 - Prob. 8PCh. 7.3 - Prob. 9PCh. 7.3 - Prob. 10P
Ch. 7.3 - Prob. 11PCh. 7.3 - Prob. 12PCh. 7.3 - Prob. 13PCh. 7.3 - PRICING SUITS AT SULLIVANS Sullivans is a retailer...Ch. 7.3 - Prob. 15PCh. 7.4 - Prob. 16PCh. 7.4 - Prob. 17PCh. 7.4 - Prob. 18PCh. 7.4 - Prob. 19PCh. 7.4 - Prob. 20PCh. 7.4 - Prob. 21PCh. 7.4 - Prob. 22PCh. 7.4 - Prob. 23PCh. 7.5 - Prob. 24PCh. 7.5 - Prob. 25PCh. 7.5 - Prob. 26PCh. 7.5 - Prob. 27PCh. 7.6 - Prob. 28PCh. 7.6 - Prob. 29PCh. 7.6 - Prob. 30PCh. 7.6 - Prob. 31PCh. 7.6 - Prob. 32PCh. 7.6 - Prob. 33PCh. 7.6 - The method for rating teams in Example 7.8 is...Ch. 7.7 - Prob. 35PCh. 7.7 - Prob. 36PCh. 7.7 - Prob. 37PCh. 7.7 - The stocks in Example 7.9 are all positively...Ch. 7.7 - Prob. 39PCh. 7.7 - Prob. 40PCh. 7.7 - Prob. 41PCh. 7.7 - Prob. 42PCh. 7.8 - Given the data in the file Stock Beta.xlsx,...Ch. 7.8 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Another way to derive a demand function is to...Ch. 7 - Prob. 48PCh. 7 - If a monopolist produces q units, she can charge...Ch. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 56PCh. 7 - A beer company has divided Bloomington into two...Ch. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - You have 50,000 to invest in three stocks. Let Ri...Ch. 7 - Prob. 65PCh. 7 - Prob. 66PCh. 7 - Prob. 67PCh. 7 - Prob. 68PCh. 7 - Prob. 69PCh. 7 - Prob. 70PCh. 7 - Based on Grossman and Hart (1983). A salesperson...Ch. 7 - Prob. 73PCh. 7 - Prob. 74PCh. 7 - Prob. 75PCh. 7 - Prob. 76PCh. 7 - Prob. 77PCh. 7 - Prob. 78PCh. 7 - Prob. 79PCh. 7 - Prob. 80PCh. 7 - Prob. 81PCh. 7 - Prob. 82PCh. 7 - Prob. 83PCh. 7 - Prob. 84PCh. 7 - Prob. 85PCh. 7 - Prob. 86PCh. 7 - Prob. 1.1CCh. 7 - Prob. 1.2CCh. 7 - Prob. 1.3CCh. 7 - Prob. 1.4C
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- The Camera Shop sells two popular models of digital SLR cameras (Camera A Price: 220, Camera B Price: 310). The sales of these products are not independent of each other, but rather if the price of one increase, the sales of the other will increase. In economics, these two camera models are called substitutable products. The store wishes to establish a pricing policy to maximize revenue from these products. A study of price and sales data shows the following relationships between the quantity sold (N) and prices (P) of each model: NA = 196 - 0.5PA + 0.35PB NB = 301 + 0.06PA - 0.6PB Construct a model for the total revenue and implement it on a spreadsheet. Develop a two-way data table to estimate the optimal prices for each product in order to maximize the total revenue. Vary each price from $250 to $500 in increments of $10. Max profit occurs at Camera A price of $ . Max profit occurs at Camera B price of $ . Check My Work (3 remaining)arrow_forwardHeineken sells beer in 12 packs for $13, in 24 packs for $25, and in 5-liter mini- kegs for $21. Assume that there is 0.355 liter per beer in a multipack. On a cost-per-liter level, which offers customers the best price? In comparing the price of a 24-pack to 12-pack on a per-liter basis, what kind of price segmentation is being used? In comparing the price of a 24-pack to 5-liter mini-keg, what kind of price segmentation is being used? Which psychological effects might drive customers to purchase a 5-liter keg?arrow_forwardKevin’s friend, Sam, runs a septic tank repair business. Your research shows that the following price and demand for servicing a tank: Current Price: $300New Price: $375 Current demand: 450 tanksNew demand 425 tanks What is the coefficient of elasticity for Sam’s business? Here is the formula for calculating elasticity: Ed = {(Q1-Q2) / [1/2 (Q1+Q2)] } / {(P1-P2) / [1/2 (P1 + P2)]}arrow_forward
- A farmer uses K units of machinery and L hours of labor to produce C tons of corn, with the production function, C= 2L0.5 K. The farmer currently uses L = 20 and K = 10. Suppose the input price ratio is w/r = 1. What would you tell the farmer to do in order to minimize his cost of production given the current level of output? a. You should use more machinery and more labor. b. You should use more machinery and less labor. c. You should use less machinery and more labor. d. You should use less machinery and less labor. Suppose that a latte can only be produced by using exactly 1 ounce of espresso (E) and 3 ounces of milk (M). What is the firm's cost function if the price of espresso is 0.50 per ounce and the price of milk is 0.10 per ounce? a. C = 4q b. C = 0.8q c. C = 0.4q d. C = 160q e. C = 80qarrow_forwardRihana is the owner of Riahan Furniture Sdn Bhd, a company involve in rattan furniture industry, which manufactures various designs and sizes of furniture in sets and individual items. All these years, the company has always adopted a simple approach of pricing and gives discounts when customer negotiate the price. Rihana feels that a high turnover is important for improved profitability of the business. There are three types of furniture which Riahan Sdn Bhd produces namely Type A, Type B and Type C. The following information are related to Riahan Sdn Bhd production and demand for the month of August 2021 for a unit (set) of product Type A, Type B and Type C: Details Type A Type B Type C Material Consumption (in kg) 50 70 90 Direct Labour hours 24 30 40 Manufacturing overheads RM45 RM50 RM40 Other fix Overheads RM35 RM25 RM45 Demand for the Month (sets) 200 400 120 Notes: Materials are charged at RM20 per kg and…arrow_forwardAutoTime, a manufacturer of electronic digital timers, has a monthly fixed cost of $50,000 and a production cost of $7 for each timer manufactured. The timers sell for $15 each. (a) What is the cost function C(x)?C(x) = (b) What is the revenue function R(x)?R(x) = (c) What is the profit function P(x)?P(x) = (d) Compute the profit (loss) corresponding to production levels of 3000, 6000, and 11,000 timers, respectively. (Input a negative value to indicate a loss.) 3000 timers $ 6000 timers $ 11,000 timers $arrow_forward
- A custom yacht-building company uses activity-based pricing. The company’s annual activity pools and related information follow: Cost Pool Estimated Cost Cost Driver Driver Quantity Design $2,500,000 Number of designs 80 designs Production 4,000,000 Labor hours 125,000 labor hours Customer service 80,000 Number of customers 20 customers The pricing structure is to charge customers for the cost of the services that are provided. One particular customer requested 2 different designs which led to the production of one yacht which took 2,400 labor hours to complete. What additional costs will be charged to this customer? I had 143,300 as the final answer but want to double check. Thank you.arrow_forwardCan you explain to me why my teacher said that the answer in here can't be determined? Or was she wrong? Please accompany the explanation with a solution so I could understand better. Thank you. If the sales this year amounted to P500,000, sales this year at last year's prices is P460,000, the cost of sales this year is P300,000, and the cost of sales this year at last year's price is P260,000. How much is the gross profit variation due to sales price factor?arrow_forwardA multinational corporation has two semiautonomous divisions: production and marketing. The production division manufactures a product that is purchased and then resold by the marketing division. The marginal cost functions for the production division and for the value added by the marketing division are defined below. MCP = 200 + 3Q MCM = 4Q The demand function for the final product is: QD = 600 - P Assume that the external market for the output of the production division is perfectly competitive and that the market price is $300. How many units should be produced by the production division? How many units should be purchased by the marketing division? What transfer price should be paid to the production division by the marketing division? What price should be charged for the final product by the marketing division?arrow_forward
- 4. (Arbitrage) A supplier is selling hammers in two cities, Pleasantville and Happy Valley. It costs him$5.00 per hammer delivered in each city. Let p1 be the price of hammers in Pleasantville and p2 be theprice of hammers in Happy Valley. The price-response curves in each city are:Pleasantville: d1(p1) = 10,000 - 800p1Happy Valley: d2(p2) = 8,000 - 500p2a.) Assuming the supplier can charge any prices he likes, what prices should he charge forhammers in Pleasantville and Happy Valley to maximize total contribution? What are thecorresponding demands and total contributions?b.) An enterprising arbitrageur discovers a way to transport hammers from Pleasantville toHappy Valley for $0.50 each. He begins buying hammers in Pleasantville and shipping themto Happy Valley to sell. Assuming the supplier does not change his prices from those givenin part a, what will be the optimal price for the arbitrageur to sell hammers in Happy Valley?How many will he sell? What will his total contribution be?…arrow_forwardPolo Golf Shirt Pricing The setting is a Ralph Lauren outlet store, and the product line is Polo golf shirts. A product manager and the General Manager for Outlet Sales are analyzing the discounted price to be offered at the outlet store per day. The decision being made is how low a price to select at the start of any given day to generate sales at that price throughout the day. The demand, revenue and variables cost information is collected on the following spreadsheet: Quantity Price Total Rev Marginal Rev Variable Cost 0 $50 $0 $0 $28 1 $48 $48 $48 $28 2 $46 $92 $44 $28 3 $45 $135 $43 $28 4 $44 $176 $41 $28 5 $42 $210 $34 $28 6 $40 $240 $30 $28 7 $38.31 $268 $28 $28 8 $36.50 $292 $24 $28 9 $34.50 $311 $19 $28 10 $16 $28 11 $13 $28 12 $10 $28 13 $7 $28 14 $4 $28 15…arrow_forward4) A 12-ounce box of Greenies costs $12.99. A 30-ounce box costs $26.99. (a) What is the cost in dollars per ounce in each box? Which size should you buy? (b) Suppose you have a coupon worth $5 toward the price of any box of Greenies. If you use the coupon, which size should you but? Is it always better to buy the large economy size? (c) Answer the previous question if your coupon gives you a 10% discount rather than $5 off. (d) What's a Greenie? Are these prices reasonable?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,