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Cost OHaganBooks.com has been experiencing a run of bad luck with its summer college intern program in association with PCU (Party Central University), begun as a result of a suggestion by Marjory Duffin over dinner one evening. The frequent errors in filling orders, charges from movie download sites and dating sites, and beverages spilled on computer equipment have resulted in an estimated weekly cost to the company of
a. What is the marginal cost at a level of 10 interns?
b. What is the average cost per intern at a level of 10 interns?
c. What is the marginal average cost at a level of 10 interns?
d. Interpret the results of parts (a)–(c).
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Applied Calculus
- The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.arrow_forwardSales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x)=0.001x2+3x1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?arrow_forwardSize of High Schools The farm population has declined dramatically in the years since World War II, and with that decline, rural school districts have been faced with consolidating in order to be economically efficient. One researcher studied data from the early 1960s on expenditures for high schools ranging from 150 to 2400 in enrollment. He considered the cost per pupil as a function of the number of pupils enrolled in the high school, and he found the approximate formula C=7430.402n+0.00012n2 where n is the number of pupils enrolled and C is the cost, in dollars, per pupil. a. Make a graph of C versus n. b. What enrollment size gives a minimum per-pupil cost? c. If a high school had an enrollment of 1200, how much in per-pupil cost would be saved by increasing enrollment to the optimal size found in part b?arrow_forward
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