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A car rental agency has a budgetof $1.8 million to purchase at most 100 new cars. Theagency will purchase either compact cars at $15,000each or luxury cars at $30,000 each. From past rentalpatterns, the agency decides to purchase at most 50 luxurycars and expects an annual profit of $7500 per compactcar and $11,000 per luxury car. How many of eachtype of car should be purchased in order to obtain themaximum profit while satisfying budgetary and otherplanning constraints? Find the maximum profit.
To be effective, these plants are also required to produce a minimal amount of steam.
What is the position of the ball when it lands? How far is the ball from the origin? (This is a distance, use proper units of measurement) At what speed is the ball moving when it impacts the ground?
A metal storage tank with volume 9π is to be constructed in the shape of a right circular cylinder surrounded by a hemisphere. What dimensions will require the least amount of metal?
in a certain city, the daily consumption of electric power, millions of kilowatt-hours, can be treated as a random variable having a gamma distribution with α= 3 and β = 2.
a bank wonders whether omitting the annual credit card fee for customers who charge at least 2500 in a year will
If parabolic opening touches the ground right at the edges of the waterway and the maximum height of the opening is 60ft, what is the maximum height that a 20-foot wide boat could be and still pass through the opening?
a rectangular table is six times as long as it is wide. If the area is 96ft2 , find the length and the width of the table?
What process do you use to solve a system of linear inequalities? How do you know where to shade and whether the lines should be dotted or solid?
Two distinct even numbers are selected at random from the first ten even numbers greater than zero.
Sketch the base-five pieces and each of the subtraction models to determine the following differences. Record sketches of your work and record the base-five numeral for each difference.
During the first part of a trip, a canoeist travels 97 miles at a certain speed. The canoeist travels 3 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 2 hrs. What was the speed on each part of the trip?
Use the simplex method for solving nonstandard problems to solve the given linear programming problem.
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