The Red Hen company is launching its new food for sale in supermarkets throughout Michigan. The sales department is convinced that its spicy chicken soup will be a great success. The marketing department is considering an intensive advertising campaign. The advertising campaign will cost $2,000,000 and if successful produce $9,600,000 in added revenue. If the campaign is less successful (25% chance), the added revenue is estimated at only $3,600,000. If no advertising is used, the revenue is estimated at $7,000,000 with probability 0.7 if customers are receptive and $3,000,000 with probability 0.3 if they are not.
1. Write an equation to calculate the expected value for each decision as a function of the probability that the major advertising campaign will be effective (p)?