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During the summer months Terry makes and sells necklaces on the beach. Last summer he sold the necklaces for $10 each and his sales averaged 20 per day. When he increased the price by $1, he found that he lost two sales per day.
(a) Find the demand function, assuming that it is linear.
(b) If the material for each necklace costs Terry $6, what should the selling price be to maximize his profit?
Kelly Fisher has a total of $33,000 invested in two municipal bonds that have yields of 8% and 10% interest per year, respectively. If the interest Kelly receives from the bonds in a year is $2920, how much does she have invested in each bond?
What is the most that it is willing to bribe an inspector to allow it to use another unit of input 1?
A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 27 mph, what is the speed of the plane in still air?
The distance a bus travels is directly proportional to time. A Red Lines bus has been traveling for 5 hours and has gone a distance of 310 miles. The total distance it must cover is 558 miles. How many miles per hour is the bus traveling?
Find the general solution of the nonhomogeneous differential equation and find the first four terms of the Taylor series of f(x) = ex at a = 1.
Architecture. An architect is designing the floors for a hotel. Each floor is to be rectangular and is allotted 720 ft of security piping around walls outside the rooms. What dimensions of the atrium will allow an atrium at the bottom to have maxi..
A paint mixture contains 23 gallons of base for every gallon of color. In 552 gallons of paint, how many gallons of color are there?
Describe the major phases of statistics. Formulate a business problem and analyse it by applying these phases?
ate the expression. where necessary, enter your answer as a fraction using the slash (/)as the fraction bar 6/11^2.
You want to create a mileage grid showing the distance between every pair of the 50 U.S. state capitals. How many numbers will you have to compute?
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
use inductive reasoning to determine the next term: 22,43,65,87,1011,1213,1417,1619
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