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

Mathematics

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