A gardener can use one of the three brands of fertilizers during the next growing season. The following decision table attached shows the expected gross income per acre for each fertilizer brand and weather condition for the growing season. The chance of dry season is shown by probability P. Find the range of P values where Brand-B fertilizer has the highest expected returns compared to using the two alternative fertilizer brands.© BrainMass Inc. brainmass.com October 10, 2019, 7:45 am ad1c9bdddf
P 1 - P
Fertilizers Brand-A 110 60
Brand-B 100 140
Brand-C 80 160
Expected Returns from using Brand A = 110 * P + 60 * (1-P) = 110P + 60 - 60P = 50P + ...
The example shows the computation of expected return by utilizing the principles of probability theory