Use the applet "Nonlinear Optimization in Feasible Region" to answer the following questions.

$($a$)$

What is the approximate maximum possible profit achieved without violating constraints?

$$45,894$$$48,918$$$49,921$$$52,125$

$($b$)$

What is the approximate number of Standard Bags to produce to achieve the maximum possible profit without violating constraints?

$308375459600$

$($c$)$

What is the approximate number of Deluxe Bags to produce to achieve the maximum possible profit without violating constraints?

$308375459600$