Solve the problem.An appliance company determines that in order to sell x dishwashers, the price per dishwasher must bep = 420 - 0.4x.It also determines that the total cost of producing x dishwashers is given byC(x) = 4000 + 0.8x2.What is the maximum profit?

A. $69,500
B. $36,750
C. $40,750
D. $32,750


Answer: D

Mathematics

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Use a tree diagram showing all possible results when a die is rolled twice. List the ways of getting the following result.The sum of the numbers showing is 8.

A. (2,6),(3,5),(4,4),(5,3),(6,2) B. (2,6),(3,5),(4,4) C. (4,4) D. (2,6),(3,5),(5,3),(6,2)

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Rewrite the given integral so that it fits the form , and identify u, du, and n.

A. ; u = csc x, du = cot6x dx, n = 2
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Mathematics

Simplify the expression representing the derivative of a function.f'(x) = (4x4 - 3x3 + 6x - 5)(6x) + (x - 3)(6x2 - 6)

A. 24x5 - 18x4 - 6x3 + 18x2 - 36x - 18 B. 24x5 - 18x4 + 6x3 + 18x2 - 36x + 18 C. 24x5 - 18x4 + 6x3 - 36x2 - 36x + 18 D. 24x5 - 18x4 - 18x2 - 30x + 18

Mathematics

Find the domain of the rational function.f(x) = 

A. {x|x ? 0, x ? -25} B. {x|x ? -5, x ? 5, x ? -8} C. {x|x ? -5, x ? 5} D. all real numbers

Mathematics