The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring.
How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is 40 and on an SST ring is 35?
A) 14 VIP and 10 SST B) 16 VIP and 8 SST C) 12 VIP and 12 SST D) 18 VIP and 6 SST
Question 2
A furniture company makes two different types of lamp stand. Each lamp stand A requires 20 minutes for sanding, 48 minutes for assembly, and 6 minutes for packaging.
Each lamp stand B requires 9 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 3600 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 6380 when they make 66 of lamp stand A and 200 of lamp stand B.
B) Maximum profit is 5400 when they make 180 of lamp stand A and 0 of lamp stand B.
C) Maximum profit is 6164 when they make 138 of lamp stand A and 92 of lamp stand B.
D) Maximum profit is 6850 when they make 100 of lamp stand A and 175 of lamp stand B.
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