The Green Company manufactures an electric motorcycle, which it sells through two of its company-owned retail stores. Store A has put in a request for between 40 and 50 of the motorcycles, inclusive, and Store B needs between 30 and 40 units, inclusive. On the basis of previous sales, the management of Green Company has decided that the number of motorcycles shipped to Store B should equal or exceed 40% of the number shipped to Store A by 20 units. The shipping costs from the manufacturer to Store A and Store B are $80 and $40 per motorcycle, respectively. How many motorcycles should the Green Company ship to each store in order to minimize its shipping costs?   Store A motorcycles __________ Store B motorcycles __________   What is the minimum cost? $_____________

The Vintage Restaurant, on Captiva Island near Fort Myers, Florida, is owned and operated by Karen Payne. The restaurant just completed its third year of operation. Since opening her restaurant, Karen has sought to establish a reputation for the Vintage as a high-quality dining establishment that specializes in fresh seafood. Through the efforts of Karen and her staff, her restaurant has become one of the best and fastest growing restaurants on the island. To better plan for future growth of the restaurant, Karen needs to develop a system that will enable her to forecast food and beverage sales by month for up to one year in advance. Table 17.25 shows the value of food and beverage sales ($1000s) for the first three years of operation.  Dependent variable: What is the variable: ___________________________________________ How it is measured, i.e. what units or categories are used (e.g., revenue measured in “dollars”; height measured as “short, average, tall”)…

On February 23, 2011 Matthew Wald blogged in The New York Times that, “a car buyer who lays out an extra $6,200 to buy the hybrid version of the Lexus RX will get the money back in gas savings within five years, according to Consumer Reports magazine, but only if gasoline averages $8.77 a gallon. Otherwise, the nonhybrid RX 350 is a better buy than the Hybrid 450h, the magazine says.”Wald notices that the study assumes:▪ The car will be driven 12,000 miles a year.▪ Gas will cost $2.80 a gallon.▪ The hybrid gets 26 miles per gallon while the nonhybrid gets 21.(a) Show that the computation is wrong—that at $8.77 per gallon of gas you can’t save $6,200 in 60,000 miles of driving.(b) Show that you can save that much with that much driving if gas costs $8.77 per gallon more than $2.80 per gallon.

2. To appeal to customers that are trying to cut calories, a company that sells orange juice decides to market a premium juice, "OJ 50", which has half as many calories as traditional orange juice. The ingredient listing reveals that OJ 50 consists of 50% water and 50% orange juice. Besides misleading customers to pay more for less orange juice, a consumer group believes that the product actually consists of greater than 50% water. To test this claim they select a random sample of 50 bottles of their 52-ounce OJ 50 and detemine the proportion of each that is water. They decide to use a=0.05. (a) State appropriate hypotheses for performing a significance test. (b) Describe what a Type I error would be in this context. (c) What is the probability of making a Type I eror when performing this test? (d) Describe what a Type II error would be in this context. (e) Which error (Type I or Type II) is more serious for the company that produces OJ 50? Explain.

Find the total cost of the following shipment of materials: 23 floor boxes listed at $4.00 each, less 15% ; 150 half-inch conduits listed at $0.60 each, less 20% ; 125 convenience outlets listed at $0.79 each, less 10% ; 83 single-pole flush switches listed at $0.45 each, less 30%.

You are the VP, Advertising for “Yo’ Mama” brand, a fashion label that caters to the young, trendy crowd with an urban, hip-hop image. While your customer base has traditionally been largely African-American, you have recognized a tremendous influx of Hispanic consumers into your market.  You are preparing for next week’s annual budget meetings and you have decided to recommend an Hispanic-focused advertising campaign if the average monthly per store sales to Hispanic customers are at least the same as the average monthly per store sales to African-American customers in a sample of typical stores (sales data given below).  Using an alpha of .05 and the 5-step hypothesis testing process, what will you recommend?  Hint:  Think about how many data points you actually have.

Consider the following situation, which involves two options. Determine which option is less expensive. Are there unstated factors that might affect your decision? You currently drive 400 miles per week in a car that gets 14 miles per gallon of gas. You are considering buying a new fuel-efficient car for $16,000 (after trade-in on your current car) that gets 42 miles per gallon. Insurance premiums for the new and old car are $900 and $500 per year, respectively. You anticipate spending $1700 per year on repairs for the old car and having no repairs on the new car. Assume gas costs $3.50 per gallon. Over a five-year period, is it less expensive to keep your old car or buy the new car? Over a five-year period, the cost of the old car is $ (Round to the nearest dollar as needed.) and the cost of the new car is $ Thus, over a five-year period, it is less expensive to

Freddy is the owner of Freddy’s fast fuel for Small Aircraft specializing in “Providing flight fit fantastic fuel” for small general aviation aircraft such as a Cessna 172. Freddy is experimenting with a fueling process involving new equipment and is trying to determine if the current process takes more time than the new process with the new equipment he is experimenting with. If the current process takes more time than the new process, Freddy will purchase some new, rather expensive fueling equipment to use across several small general aviation airports his company services. Freddy is comparing sample mean times to evaluate his hypothesis about the population (total number of aircraft fuel fill-ups). Over the period of a week, he took a random sample of fuel fill-up times using both the old and new processes. Using the information Freddy provided, you ran a t-test for independent samples. These are the results (α = .05).    t-Test: Two-Sample Assuming Unequal Variance   Current…

2. A company is planning to open a maximum of 11 new stores in Chicago. The stores will be built in one of three sizes: a convenience store (open 24 hrs.), a standard store, and an expanded service store. The convivence store requires $4.1215 million to build and 30 employees to operate. The standard store requires $8.25 million to build and 15 employees to operate. The expanded-services store requires $12.375 million to build and 45 employees to operate. The company can dedicate up to $82.5 million for construction, and 300 employees to staff the stores. On average, the convenience store nets $1.2 million annually, the standard store nets $2 million and the expanded service store nets $2.6 million annually. How many of each store should the company build to maximize revenue? Use excel solver.