An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 9x - 18yConstraints0 ? x ? 5 0 ? y ? 8 4x + 5y ? 30 4x + 3y ? 20
A. Maximum: -78.75; at (1.25, 5)
B. Maximum: 0; at (0, 0)
C. Maximum: 45; at (5, 0)
D. Maximum: -108; at (0, 6)
Answer: C
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Answer the question.If 
is a convergent series of nonnegative terms, what can be said about 
?
A. Always converges B. Always diverges C. May converge or diverge
Graph the function. State the domain and range.y = - x2 - 1
A. 
Domain: ? Range: y ? - 1
B. 
Domain: x > -7 Range: ?
C. 
Domain: ? Range: ?
D. 
Domain: ? Range: y ? - 1
Solve the problem.The weekly production cost C of manufacturing x calendars is given by 
where the variable C is in dollars. What is the cost of producing 210 calendars?
A. $630.00 B. $8193.00 C. $669.00 D. $249.00
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.2logy3 + logy2
A. logy12 B. logy3 C. 2logy6 D. logy18