Solve the problem.Suppose that the daily cost C of manufacturing x bicycles is given by  Then the average daily cost  is given by  How many bicycles must be produced each day in order for the average cost to be no more than 

A. at least 2000 bicycles
B. at least 200 bicycles
C. at most 200 bicycles
D. at least 20 bicycles


Answer: B

Mathematics

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Write a system of three inequalities that describe the constraints in the problem.Mrs. White wants to crochet beach hats and baby afghans for a church fund-raising bazaar. She needs 5 hours to make a hat and 2 hours to make an afghan and she has 31 hours available. She wants to make no more than 11 items and no more than 9 afghans. The bazaar will sell the hats for $11 each and the afghans for $5 each. Let x equal the number of hats made and y equal the number of afghans made.

A. 2x + 5y ? 31, x + y ? 11, y ? 9 B. 5x + 2y ? 31, x + y ? 11, y ? 9 C. 11y + 5x ? 31, x + y ? 11, y ? 9 D. 11x + 5y ? 31, x + y ? 11, y ? 9

Mathematics

Find the derivative.y = x + ?6

A. 1 + 6?5 B. x + 6?5 C. 1 D. 1 + 6?7

Mathematics

Sketch the plane in a three-dimensional space represented by the equation.

z=2

Mathematics

Solve the problem.For the equation y = -  sin(4x + 3?), identify (i) the amplitude, (ii) the phase shift, and (iii) the period.

A.

(i) 2(ii) 3?(iii) 

B.
(i) (ii) - (iii) 4

C.
(i) (ii) - (iii) 

D.
(i) - (ii) -  (iii) 4

Mathematics