What are the ranges of optimality for the profit of Product 1, Product 2, Product 3, and Product 4? (b) Find the shadow prices of the three constraints and interpret their meanings. What are the ranges in which each of these shadow prices is valid? (c) If the profit contribution of Product 4 changes from $10 per unit to $15 per unit, what will be the optimal solution? What will be the new total profit? (Note: Answer this question by using the sensitivity results given above. Do not solve the problem again).

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

Identify whether the statements are true or false by dragging and dropping the appropriate term into the bin provided. long-run economic growth is unlikely to be sustainable because of finite natural resources. in the modern economy, countries that possess few domestic natural resources essentially have no chance to develop economically. finding alternatives to natural resources will be very important to long-term economic growth. in the modern economy, human and physical capital are generally less important in productivity than natural resources. in the 19th century, countries with the highest per capita gdp were nearly always abundant in minerals and productive farming land.

Joint cost cheyenne, inc. produces three products from a common input. the joint costs for a typical quarter follow: direct materials $45,000 direct labor 55,000 overhead 60,000 the revenues from each product are as follows: product a $75,000 product b 80,000 product c 30,000 management is considering processing product a beyond the split-off point, which would increase the sales value of product a to $116,000. however, to process product a further means that the company must rent some special equipment costing $17,500 per quarter. additional materials and labor also needed would cost $12,650 per quarter. a. what is the gross profit currently being earned by the three products for one quarter? $answer b. what is the effect on quarterly profits if the company decides to process product a further? $answer