Please provide reasoning

Amir operates a large lobster boat. The operating cost for the boat is $2,250 each day. At the O 77% end of each day, he sells all his freshly caught lobster to either the local restaurant or the local grocery store with the following conditions: . The price per pound that the restaurant is willing to pay follows a triangular distribution with minimum value $1.50, maximum value $5.50, and likeliest value $3.50. O 84% . The price per pound that the grocery store is willing to pay is decreasing with more lobsters: $3.85 - $0.0005 * y, where y is the total lobster amount sold in pounds. 57% . The amount of lobster that Amir catches in a single day follows a normal distribution with mean 1,500 pounds and standard deviation sqrt(12,500) pounds. Amir decides to sell a fixed percentage of lobster to the local restaurant and the rest to local grocery stores. Using either math or simulation, can you help Amir determine what percentage 34% he should choose in order to maximize his expected profit in the long run