Solve the problem.A furniture company makes two different types of lamp stands. Each lamp stand A requires 11 minutes for sanding, 18 minutes for assembly, and 8 minutes for packaging. Each lamp stand B requires 13 minutes for sanding, 23 minutes for assembly, and 7 minutes for packaging. The total number of minutes available each day in each department are as follows: for sanding 4000 minutes, for assembly 8000 minutes, and for packaging 2000 minutes. The profit on each lamp stand A is $19 and the profit on each lamp stand B is $27. How many of each type of lamp stand should the company make per day to maximize their profit? Set this up as a linear programming problem in the following form: Maximize cTx subject to Ax ? b and x ? 0. Do not find the solution.

A. Let x₁ be the number of lamp stands of type A made per day and x₂ the number of lamp stands of type B made per day.
Then b =, x = , c = , and A =
B. Let x₁ be the number of lamp stands of type A made per day and x₂ the number of lamp stands of type B made per day.
Then b = , x = , c = , and A =
C. Let x₁ be the number of lamp stands of type A made per day and x₂ the number of lamp stands of type B made per day.
Then b = , x = , c = , and A =
D. Let x₁ be the number of lamp stands of type A made per day and x₂ the number of lamp stands of type B made per day.
Then b = , x = , c = , and A =

Answer: C

Mathematics

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