Set up the objective function and constraints for the following problem. Do not solve.A school district is buying new buses. It has a choice of two kinds. The 20-passenger bus costs $18,000 whereas the 30-passenger costs $22,000. $572,000 has been budgeted for the new buses. A maximum of 30 drivers will be available to drive the buses. At least 17 30-passenger buses must be ordered because of the desirability of having a certain number of larger capacity buses. How many of each type should be purchased to carry a maximum number of students?
What will be an ideal response?
Maximize 
subject to
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For the given functions f(x) and g(x), find (f + g)(x) or (f - g)(x) as indicated.f(x) = -5x + 8, g(x) = x2 - 3x - 9Find (f + g)(x).
A. x2 - 8x + 12 B. x2 + 3x - 1 C. x2 - 8x - 1 D. x2 + 3x + 5
Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?
A. 0.35 B. 0.559 C. 0.224 D. 0.217
Solve the problem.Assume that "The Dreaded Dree," a boat that tours the Colorado River, typically runs at 9 mph in still water. If the Colorado is flowing at 4.5 mph, how long will it take "The Dreaded Dree" to cruise 3 miles upstream?
A. 1.5 minutes B. 40 minutes C. 90 minutes D. 15 minutes
Solve the problem.The following data represents the amount of money Tom is saving each month since he graduated from college. 
Find the slope of the line of best fit for the data set and interpret it.
What will be an ideal response?