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Your college newspaper, The Collegiate Investigator, sells for 90A??c per copy. The cost of producing x copies of an edition is given by C(x) = 10 + 0.10x + 0.001x2 dollars.
(a) Calculate the marginal revenue R'(x) and profit P'(x) functions.
(b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition.
(c) The approximate (profit or loss?) from the sale of the 501st copy is $_____.
(d) For which value of x is the marginal profit zero?
(e) The graph of the profit function is a parabola with a vertex at x=_____ , so the profit is at a maximum when you produce and sell ______ copies.
Suppose that Ford's performance scores really are Normally distributed. This year, managers with scores less than 31 received C's and those with scores above 595 received A's. What are the mean and standard deviation of the scores?
Find how much radioactive material remains after 7 hours. Round your answer to the nearest thousandth.
To eliminate the remaining six regions by logical analysis would be rather a pain. Using the picture of R = R1, or using the inequalities defining R1, find the volume of R, and find z.
If F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)).
Using life insurance tables, a retired man determines that the probability of living 5 more years is 0.91. He decides to take out a life insurance policy that will pay $31,000 in the event that he dies during the next 5 years. How much should he b..
Find the mean score
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A domestic auto producer is facing intense competition in the US market from Asian imports. The CFO decides that the solution is to produce at the point at which average cost is minimized, i.e. where TC/Q is at a minimum. The firm's cost structure..
Suppose a certain population of birds has a ratio of approximately 100 males to 190 females. If the current population of birds is 16,000, and every male bird mates with one female bird, how many female birds will be without mates?
The size of a certain bacteria culture doubles each hour. If the number of bacteria present initially is 3000, how many would be present at the end of 6 hours?
The actual weight of soap powder in a box has a normal distribution with a mean of 33 oz. and a standard deviation of 0.8 oz. What proportion of packets are underweight (i.e., weigh less than 32 oz.)?
use the optimality conditions to find all local solutions to the following problem
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