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Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function is given by R(x) = 48x and that the total cost function is given by C(x) = 50 + 29x + 1/10x^2 (a) Find P(100). P(100) = (b) Find the marginal profit function MP. MP = (c) Find MP at x = 100. MP(100) = Explain what it predicts. A-Cost will decrease by |MP(100)| dollars. B-Profit will decrease by |MP(100)| dollars. C-Profit will increase by |MP(100)| dollars. D-Cost will increase by |MP(100)| dollars. (d) Find P(101) - P(100). $ Explain what this value represents. A-The sale of the 101st unit will increase profit by |P(101) - P(100)| dollars. B-The sale of the 101st unit will decrease profit by |P(101) - P(100)| dollars. C-The sale of the 100th unit will increase profit by |P(101) - P(100)| dollars. D-The sale of the 100th unit will decrease profit by |P(101) - P(100)| dollars.
Describe the two paths in words. Then determine if the two particles collide, cross, or neither cross nor collide to fill in the following. If they collide or their paths cross, indicate where (if neither is true, enter none).
assume the following transactions occurred during the year. the annual accounting period ends on december 31.jan.
For instance, if they pay 3% they will generate $3 million in deposits. If they can load all the money they take in at 10% interest, what interest rate on deposits will generate the best profit.
How many four letter arrangements can be made using the letters in the word Alaska?
Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.
In 35 of their stores they sold on the average 430 suits per year with a population standard deviation of 40. What is the test value for their claim?
Find the slope and the equation of the tangent line to the graph of the function at the given value of x.
Discuss the key assumptions of the hypothesis test and whether the data meets the assumptions - Discuss the assumptions of the hypothesis test that you have carried out.
A formula is derived for the n-th derivative of a function that is a product of two other functions, f(x)=u(x).v(x). This formula is used to write down the n-th derivative of f(x) = e^x/(1 − x).
A company manufactures two products; each must be processed through two departments 1 and 2. The following table summarizes the number of hours required in the production of each product in each department and the utility obtained by each product.
Martin just finished working on a job in which he spent 7 hours on Monday doing prep work and 8.5 hours on Wednesday painting. How much money doe John owe him?
refer to and use the following abbreviations for the problems belowbt box of teasamph shipping and handlingp desired
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