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You are thinking of making your mansion more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs, and insulating part or all of your exterior walls. each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† your mansion has 150 light fittings and 3000 sq ft of uninsulated exterior wall. to impress your friends, you would like to spend as much as possible, but save no more than $750 per year in energy costs (you are proud of your large utility bills). how many compact fluorescent light bulbs and how many square feet of insulation should you purchase? how much will you save in energy costs per year? (if an answer does not exist, enter dne.)

In december of 2004, the company you own entered into a 20-year contract with a grain supplier for daily deliveries of grain to its hot dog bun manufacturing facility. the contract called for "10,000 pounds of grain" to be delivered to the facility at the price of $100,000 per day. until february 2017, the supplier provided processed grain which could easily be used in your manufacturing process. however, no longer wanting to absorb the cost of having the grain processed, the supplier began delivering whole grain. the supplier is arguing that the contract does not specify the type of grain that would be supplied and that it has not breached the contract. your company is arguing that the supplier has an onsite processing plant and processed grain was implicit to the terms of the contract. over the remaining term of the contract, reshipping and having the grain processed would cost your company approximately $10,000,000, opposed to a cost of around $1,000,000 to the supplier. after speaking with in-house counsel, it was estimated that litigation would cost the company several million dollars and last for years. weighing the costs of litigation, along with possible ambiguity in the contract, what are three options you could take to resolve the dispute? which would be the best option for your business and why?

Companies in the u.s. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. in 2011 hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. the following data show the number of cars in service (1000s) and the annual revenue ($ millions) for six smaller car rental companies (auto rental news website, august 7, 2012). excel file: data14-09.xls if required, enter negative values as negative numbers. a. select a scatter diagram with the number of cars in service as the independent variable. b. what does the scatter diagram developed in part (a) indicate about the relationship between the two variables? c. use the least squares method to develop the estimated regression equation (to 3 decimals). ŷ = + x d. for every additional car placed in service, estimate how much annual revenue will change. by $ e. fox rent a car has 11,000 cars in service. use the estimated regression equation developed in part (c) to predict annual revenue for fox rent a car. round your answer to nearest whole value. $ million hide feedback partially correct