Jack Foods Inc. assembles food packages that can be sent overseas during the holiday season. Each package sells for $44 and costs $20 to put together. The company plans to assemble 100, 200, or 300 packages this year. The probabilities associated with selling each of these quantities are as follows: P (100) = 0.11, P (200) = 0.60 and P (300) = 0.29

Unsold packages are sold at 25% of the regular price. If more packages are needed than were assembled, a maximum of 50 extra packages can be assembled at a cost of $24.00 per package. However, the sale price remains at $36 per package. The company needs to determine how many food packages to assemble to maximize profit.

a. Using the EMV criterion, how many food packages should the company assemble? 

b. What is the expected value of perfect information?