A city wants to locate 2 new firefighting ladder trucks to maximize the number of tall buildings which they can cover within a 3 minute response time. The city is divided into 4 zones. The fire chief wants to locate no more than one of the trucks in either Zone 1 or Zone 4. The number of tall buildings in each zone and the travel time between zones is listed below. to zones
No tall buildings from zones 1 2 3 4
50 1 0 2 1 6
90 2 2 0 4 5
60 3 1 4 0 1
70 4 6 5 1 0

Required:
a. Write the Mathematical ILP formulation for this problem.
b. Solve the problem using Solver for the optimal value objective function and the locations the fire trucks.

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

Down under products, ltd., of australia has budgeted sales of its popular boomerang for the next four months as follows: unit salesapril 74,000may 85,000june 114,000july 92,000the company is now in the process of preparing a production budget for the second quarter. past experience has shown that end-of-month inventory levels must equal 10% of the following month’s unit sales. the inventory at the end of march was 7,400 units.required: prepare a production budget by month and in total, for the second quarter.

The green fiddle has declared a $5 per share dividend. suppose capital gains are not taxed, but dividends are taxed at 15 percent. new irs regulations require that taxes be withheld at the time the dividend is paid. green fiddle stock sells for $71.50 per share, and the stock is about to go ex-dividend. what will the ex-dividend price be?