A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function, R(x) = 40x-0.20x² where the revenue R x( ) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum?
What will be an ideal response?
Maximum Revenue: $2,000 when x = 100 units are manufactured
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Find the mass of the wire that lies along the curve r and has density ?.C1: r(t) = (6 cos t)i + (6 sin t)j, 0 ? t ? 
;C2: r(t) = 6j + tk, 0 ? t ? 1; ? = 7t5
A. 
?5 units
B. 
units
C. 
?5 units
D. 
units
Solve.3x(x - 3) = 7
A. - 
B. 
C. 
D. - 
Solve the problem."If there is a choice that in a head-to-head comparison is preferred by the voters over every other choice, then that choice should be the winner of the election." This fairness criterion is called the
A. mononocity criterion. B. majority criterion. C. independence of irrelevant alternatives criterion. D. Condorcet criterion. E. none of these
A country has four states. Suppose the population of State 1 is P1, the population of State 2 is P2, the population of State 3 is P3, and the population of State 4 is P4. Suppose also that the total number of seats in the legislature is M and the standard divisor is D.If W is the modified divisor used for Webster's method, then
A. W is always greater than or equal to D. B. W is always equal to D. C. W is always less than or equal to D. D. W can be less than, equal to, or greater than D. E. none of these