Find the value of the objective function at each corner of the graphed region. Use this information to answer the question.Objective Functionz = x - 2yWhat is the minimum value of the objective function?

A. -1
B. -13
C. -28
D. -16


Answer: D

Mathematics

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Solve the problem.Without graphing, determine the amplitude and period of the function 

A. Amplitude = 10
Period = ?
B. Amplitude = 10
Period = 
C. Amplitude = 5
Period = 
D. Amplitude = 5
Period = 

Mathematics

Solve the problem.The total production cost of printing a commemorative booklet for your outdoor group is a flat fee of $500 for typesetting plus 35 cents per copy. Let p represent the total production cost and x represent the number of copies printed. If you decide to sell the booklets for  cents per copy, how many will need to be sold to break even? That is, for what value of x is the total cost of production p equal to the total amount of revenue r? Round to the nearest whole number.

A. 510 booklets B. 3333 booklets C. 588 booklets D. 490 booklets

Mathematics

Use the discriminant to determine the number of real solutions of the equation.36x2 + 12x + 1 = 0

A. 1 B. No real solutions C. 2

Mathematics

Use the method of cylindrical shells to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated axis. Sketch the region and a representative rectangle.

y = , y = 0, x = 3; the y-axis

Mathematics