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the owner of a concession stand can sell 150 lunches per day at a price of $3 EACH. tHE COST TO THE owner is $2.25 per lunch. Each $0.25 price increase decreases sales by 30 lunches per day. What should be charged to maximize profit?
a manufacturer can produce cassette tape records at a cost of $40 a piece,its estimates that if the tape records are sold for p dollar a piece.consumer will buy 120-p of them a month , express the manufacturers monthly profit as a function of pric..
A plane can fly 325 mph in still air. If it can fly 190 miles downwind in the same amount of time it can fly 135 miles upwind, find the velocity of the wind.
How many distinct terms are there in the multinomial expansions of
Mean and Variance and Error Probability, Binary data are transmitted over a noisy communications channel in block of 16 binary digits
The store owner can order jackets in lot sizes of 10 units. How many jackets should the store owner order if she wants to maximize the expected profit?
leading economic indictators: the value of the conference board index of 10 economic undicatators in the U.S could be approximately by the following function of time t in months since the end of december 2002.
Statistical Probability: Emergency Call Rates. Let sample mean = 70 and the sample variance = 36 and assume the data is normally distributed. Use ths information to answer the following:
We may think that this is similar to a Fresnel Integral (sin(x^2)). In that case, we would set z=e^(iz)^2, and then integrate over the special contour with regions I: 0 to R, II:
Let R be the elliptical region in the first quadrant bounded by x^2/3^2 +y^2/2^2 =1. Use the change of variables, x =3u , y =2v , to evaluate the area of R .
Important information about Probability : Random Selection, A man has been guessing colors of cards drawn from a standard deck of cards. During the first 50 draws he kept track of the number of cards of each color
Poisson Kernel and Harmonic Function, Let P_r(t)=R((1+z)/(1-z)), z=re^it be the Poisson kernel for the unit disc |z|
Find the first five positive deficient square pentagonal numbers. The answer should demonstrate in a table with 3 columns how to get the corresponding m, n and Pm for each of the 5 numbers.
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