Use the method of Lagrange multipliers to solve this exercise.

Hercules Films is also deciding on the price of the video release of its filmBride of the Son of Frankenstein. Again, marketing estimates that at a price ofpdollars it can sellq=312,000?12,000pcopies, but each copy costs $4 to make. What price will give the greatestprofit?

Use the method of Lagrange multipliers to solve this exercise. Hercules Films is also deciding on the price of the video release of its film Bride of the Son of Frankenstein. Again, marketing estimates that at a price of p dollars it can sell q = 312,000 - 12,000p copies, but each copy costs $4 to make. What price will give the greatest profit? p = $