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Elasticity and Revenue
Suppose that q = 500 - 2p units of a certain commodity are demanded when p dollars per unit are charged, for0<=p<=250.
a) Determine where the demand is elastic, inelastic, and of unit elasticity with respect to price.
b) Use the results of part (a) to determine the intervals of increase and decrease of the revenue function and the price at which revenue is maximized.
c) Find the total revenue function explicity and use its first derivative to determine its intervals of increase and decrease and the price at which revenue is maximized.
d) Graph the demand and revenue functions.
Grouping and collecting
The table below is based on surveys of double-income families and the percent of men and women in these families who said they had the greater responsibility for various areas of the housework.
Find the slope intercept equation
Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. A 4-ft by 6-ft picnic table is placed on an outdoor patio measuring x ft by (x + 2) ft. Find a polynomial for the remaining open space on the p..
To get a C in history, Nandan must average 74 on four tests. Scores on the first three tests were 69, 75, and 60. What is the lowest score that Nandan can get on the last test and still receive a C?
Suppose K is a Galois extension of Q whose degree is a power of 2, and such that K is included in R (the reals). Show that the elements of K can be constructed by ruler and compass.
To estimate gorilla populations, biologists count the total number of gorillas in a small section of their habitat. The total population of gorillas is directly proportional to the size of the habitat (in acres) polled.
Express as a polynomial
How well do we understand how errors propagate? Consider a problem whose correct answer is x =99.89. To get credit you have to submit an answer good to within 3.0%.
Problem on profit & loss
Solve the following equation for x under radical sign.
Explain the difference between a variable, a variable expression, and an equation. Explain the difference between a constant and a variable. Explain the difference between a constant and a coefficient.
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