A factory has produced a total of 32,000 cellphone cases. There are 3 scenarios for their demand and another 3 for their unit sale price as shown below. Remaining (unsold) units have to be heavily discounted making a profit of only $2.30 each. Determine the probability that they will make a total profit larger than $300,000.

Units sold #	Probability for units sold	Profit $/unit	Probability for profit $/unit
10,000	0.20	13.50	0.15
15,000	0.45	19.50	0.55
20,000	0.35	28.50	0.30