Your firm, the WarmUp Co., sells only two products:winter hats and coffee mugs.(This is quite a limited portfolio of products!)In terms of revenue, you charge prices of $20 per hat and $10 per mug.However, you are uncertain how many hats and mugs you will sell this year.LetHdenote the number of hats you will sell this year, and letMdenote the number of mugs you will sell this year.Based on forecasts from your sales team, you believe that...

E(H) = 22,000Var(H) = 9,000,000E(M) = 8,000Var(M) = 1,000,000

(a)What is your expected total revenue for the year from these two products?

(b)Assuming H and M are independent, what is the variance on your total revenue for the year?