Solve the problem. The Acme Class Ring Company designs and sells two types of rings: the VIP and the SSI. 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 $\$ 30$ and on an SST ring is S40? a. 12 VIP and 12 SSI b. $16 \mathrm{VIP}$ and $8 \mathrm{SSI}$ C.0 VIP and 24 SST d. 8 VIP and 16 SST

Step 1 ：This is a linear programming problem. We need to maximize the profit function subject to the constraints of the problem.

Step 2 ：The profit function is given by \(P = 30x + 40y\), where \(x\) is the number of VIP rings and \(y\) is the number of SST rings.

Step 3 ：The constraints are given by \(x + y \leq 24\) (they can produce up to 24 rings each day) and \(3x + 2y \leq 60\) (total man-hours of labor).

Step 4 ：We can solve this problem by plotting the feasible region and finding the maximum point of the profit function.

Step 5 ：The result indicates that the optimal solution is to produce 0 VIP rings and 24 SST rings. This will yield a maximum profit of $960.

Step 6 ：Final Answer: The answer is \(\boxed{\text{C.0 VIP and 24 SST}}\).