Solve the linear programming problem.
-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) $12 \mathrm { VIP }$ and $12 \mathrm { SST }$
B) 18 VIP and 6 SST
C) 16 VIP and 8 SST
D) 14 VIP and 10 SST

Question

Quizplus · Accepted Answer

The constraints are: $3x + 2y \leq 60$ (man-hours) and $x + y \leq 24$ (total rings), where $x$ is the number of VIP rings and $y$ is the number of SST rings. The objective function to maximize is $P = 40x + 35y$. Solving graphically or using linear programming methods, the optimal solution is $12 \mathrm { VIP }$ and $12 \mathrm { SST }$ to maximize profit within the given constraints.

Solve the Linear Programming Problem $40\$ 40$40 And on an SST Ring Is

Solve the Linear Programming Problem $\$ 40$ And on an SST Ring Is