The Camera Shop sells two popular models of digital SLR cameras (Camera A Price: $200, Camera B Price: $300). 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 = 195 - 0.6PA + 0.25PB NB = 301 + 0.08PA - 0.5PB 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 revenue occurs at Camera A price of $ Max revenue occurs at Camera B price of $

Panini, a popular sandwich shop, offers 3 types of sandwiches: Grill vegetables, grilled chicken and pastrami. The table below provides demand data: Pastrami Grilled Vegetables Grilled Chicken Demand per hour 25 25 10 There are up to five steps in the process of making sandwiches, listed below with activity times. Only 50% of customers want their sandwich toasted, no matter which sandwich is ordered. Step Grilled Vegetables Grilled Chicken Pastrami Cut bread 75 minutes .75 minutes .75 minutes Grill 1.9 minutes 1.9 minutes Slice meat 3 minutes Toast 2 minutes 2 minutes 2 minutes Wrap .75 minutes .75 minutes .75 minutes Suppose Panini employs 1 worker at each step. What is the implied utilization of the bottleneck of this process?

Suppose you are managing a farming company, which is one of the major producers of Tomato in the State of North Carolina. You have been provided with the following graph which shows the demand curve for the tomatoes that your company is producing. As you can see, there are two known points (X and Y) on a demand curve for tomatoes. According to the “standard" method of computing elasticity (i.e. use the standard formula of percentage change in your computations), the standard-method price elasticity of demand for tomatoes when moving from point X to point Y is approximately Demand 10 20 30 40 50 60 70 80 90 100 QUANTITY (Thousands of pounds of tomatoes)

Explain the type of pricing strategy that you as a manager of a company would implement for Good X and Good Y with the following price elasticity of demand co efficients. Use diagrams to motivate your answer. a) Good X: 2.3 b) Good Y: 0.6

Leah and Shota can purchase an airplane ticket, a car rental, or both items. Leah has value x for the plane and 6 for the car, while Shota has value 20 for the plane and 2 for the car. A travel website can sell the products individually, sell the products in a bundle, or sell a combination of individual items and a bundle. Leah Shota Plane Car 6 2 X 20 For each of the following pricing strategies, calculate the possible values of r (i.e. z 30 or 3 ≤ x ≤7) which make this pricing strategy optimal, or explain why it is never optimal. You can restrict your answer to integer values of x. 1. Sell the bundle to Leah and sell nothing to Shota. 2. Sell a plane ticket to both Leah and Shota, and also sell a car rental to Leah. 3. Sell a car rental to Shota and a plane ticket to Leah. 4. Sell a car rental to Leah and the bundle to Shota.

Noticing that profits on college text books are very high, the Beast Book Store (BBS), with the help of a venture capitalist, has gone into text book publishing. In its current production range its average total cost is approximately equal to its marginal cost which it estimates to be about $25. It has estimated that price elasticity of demand for its books at current price levels to be about -1.5. The manager of BBS uses mark-up pricing to price the books that it sells using a 150% mark-up (even with this mark-up BBS can still underprice most other book publishers). Assuming that BBS wants to maximize short-term profits on its book sales and initially enjoys a monopoly in the local college textbook production market, is this a good pricing procedure? Harvard and other local colleges soon start publishing companies of their own increasing competition and causing the price elasticity of demand for BBS books to increase to -2.0. Assuming that BBS’s demand curve that generates this -2.0…

ABC Co, a store that sells various types of sports clothing and other sports items, is planning to introduce a new design of Arizona Diamondbacks’ baseball caps. A consultant has estimated the demand curve to be    Q = 2,000 - 100P where Q is cap sales and P is price. How many caps could ABC sell at $6 each? How much would the price have to be to sell 1,800 caps? Suppose ABC were to use the caps as a promotion. How many caps could ABC give away free? At what price would no caps be sold? Calculate the point price elasticity of demand at a price of $6.

In a small town, there are two bakeries that produce similar types of bread. Bakery A has been in business for several decades and has a loyal customer base. Bakery B is a new entrant in the market, offering similar quality but at slightly lower prices. As a result, some customers have started shifting their purchases to Bakery B. Question:How does the concept of price elasticity of demand apply to the situation between Bakery A and Bakery B, and what factors might influence consumers' decisions to switch their bread purchases?

Harriet McNeil, proprietor of McNeil's Auto Mall, believes that it is good business for her automobile dealership to have more customers on the lot than can be served, as she believes this creates an impression that demand for the automobiles on her lot is high. However, she also understands that if there are far more customers on the lot than can be served by her salespeople, her dealership may lose sales to customers who become frustrated and leave without making a purchase.    Ms. McNeil is primarily concerned about the staffing of salespeople on her lot on Saturday mornings (8:00 a.m. to noon), which are the busiest time of the week for McNeil's Auto Mall. On Saturday mornings, an average of 6.8 customers arrive per hour. The customers arrive randomly at a constant rate throughout the morning, and a salesperson spends an average of one hour with a customer. Ms. McNeil's experience has led her to conclude that if there are two more customers on her lot than can be served at any time…

You manage a movie theater that can handle up to 8,000 patrons per week. The current demand, price, and elasticity for ticket sales, popcorn, soda, and candy are given in below. The theater keeps 45 percent of ticket revenues. Unit cost per ticket, popcorn sales, candy sales, and soda sales are also given. Assuming linear demand curves, how can the theater maximize profits? Demand for foods is the fraction of patrons who purchase the given food.   Elasticity Current Price Demand Cost Ticket 3 8 3000 0 Popcorn 1.3 3.5 0.5 0.4 Soda 1.5 3 0.6 0.6 Candy 2.5 2.5 0.2 1