Answer:
The company's expected value of each warranty sold = $45.55
Step-by-step explanation:
x = Resulting value for the company of replacing a failed product = Price two-year-extended warranty - Replacement cost = $48 - $350 = -$302
y = Resulting value for selling extended warranty to a product that does not fail = Price two-year-extended warranty = $48
Px = Probability of X occurring = 0.7%
Py = Probability of y occurring = 100% - Px = 100% - 0.7% = 99.30%
Therefore, we have:
The company's expected value of each warranty sold = (x * Px) + (y * Py) = ((-$302) * 0.7%) + ($48 * 99.30%) = $45.55