Use the simplex method to solve the linear programming problem.A furniture company makes two different types of lamp stand. Each lamp stand A requires 16 minutes for sanding, 48 minutes for assembly, and 6 minutes for packaging. Each lamp stand B requires 8 minutes for sanding, 32 minutes for assembly, and 8 minutes for packaging. The total number of minutes available each day in each department are as follows: for sanding 3360 minutes, for assembly 9600 minutes, and for packaging 2000 minutes. The profit on each lamp stand A is $30 and the profit on each lamp stand B is $22. How many of each type of lamp stand should the company make per day to maximize their profit? What is the maximum profit?
A. Maximum profit is $7336 when they make 136 of lamp stand A and 148 of lamp stand B
B. Maximum profit is $6000 when they make 200 of lamp stand A and 0 of lamp stand B
C. Maximum profit is $6380 when they make 66 of lamp stand A and 200 of lamp stand B
D. Maximum profit is $6164 when they make 138 of lamp stand A and 92 of lamp stand B
Answer: C
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The circulation M, in thousands, of a magazine is a function of the time t in years since the beginning of 2000. The formula
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is valid over the interval from 
to 
.A. Express in functional notation the circulation of the magazine in 2003, and then calculate that value.B. When did the circulation reach 136 thousand? Round your answer to the nearest whole number year.C. What was the maximum circulation, and when did that occur? Round both answers to the nearest whole number.
What will be an ideal response?
Solve the problem.Refer to the given preference schedule. If candidate D drops out, does the Borda count method satisfy Fairness Criterion 4?
A. Yes B. No
Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(2) = 8, u '(2) = 3, v(2) = -1, v '(2) = -5.
at x = 2
A. - 
B. 
C. - 
D. - 
Use the vertical line test to determine if the graphs are functions.
A. Yes B. No