Solve.A car manufacturer finds that the marginal supply for its new station wagon satisfies the function
where S is the quantity purchased in one town when the price is p thousand dollars. Find the supply function S(p) given that the company will sell 605 cars when the price is 24 thousand dollars.
A. S(p) = +
ln
+ 178
B. S(p) = ln
+ 178
C. S(p) = p + 88,800 ln |p - 12| + 178
D. S(p) = ln |p - 12| + 178
Answer: B
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Perform the following operation and write the result in lowest terms. 6 + 6
A. 12
B. 13
C. 12
D. 12
Factor.45 - 4x - x2
A. (x - 9)(x - 5) B. (x + 9)(x - 5) C. (-x - 9)(x - 5) D. (-x - 5)(x - 9)
Solve the problem.Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t.a = 16 cos 3t, v(0) = 5, s(0) = -12
A. s = sin 3t + 5t - 12
B. s = - cos 3t + 5t - 12
C. s = cos 3t - 5t - 12
D. s = - sin 3t + 5t - 12
Solve the problem.A company has fixed costs of $3400 and a marginal cost of $3.86 per unit. Find the average cost function (i.e. the average cost per unit to produce x units). What is the horizontal asymptote of the graph of the average cost function? What information is provided by the horizontal asymptote?
What will be an ideal response?