Solve the problem.Acme Communication finds that the total revenue function associated with producing a new type of cellular phone is  and the total cost function is  where x represents the number of units of cellular phones produced. Find the total profit function, P(x) .

A. P(x) = -2x2 + 225x - 9000
B. P(x) = -x2 + 207x - 8000
C. P(x) = x4 - 207x2 + 8000
D. P(x) = -x2 + 219x + 8000


Answer: B

Mathematics

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Express the given function as a composite of functions f and g such that y = f(g(x)).y = 

A. f(x) = x, g(x) = 5x + 1
B. f(x) = , g(x) = 5x + 1
C. f(x) = , g(x) = 5x - 1
D. f(x) = -, g(x) = 5x + 1

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Express the following in interval notation.

A. [-2, 2) B. (-2, 2] C. (-2, 2) D. [-2, 2]

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Find the indicated absolute extremum as well as all values of x where it occurs on the specified domain.f(x) = x2 - 4; [-1, 2]Maximum

A. 0 at x = 2 B. 0 at x = -2 C. -3 at x = -1 D. -3 at x = 1

Mathematics

Solve the problem.The weight of a ram can be estimated by the function W(t) = -7.3 + 304.8e-e(-0.00956(t - 131.9)),where t is the age of the ram (in days) and W(t) is the weight of the ram (in kg). If a particular ram is 50 days old, use differentials to estimate how much weight it will gain before it is 60 days old.

A. 3.8 kg B. 7.5 kg C. 7.9 kg D. 7.1 kg

Mathematics