Suppose you have $16,000 to invest in three stocks, a, b, and c. stock a is a low-risk stock that has expected returns of 4%. stock b is a medium-risk stock that has expected returns of 5%. stock c is a high-risk stock that has expected returns of 6%. you want to invest at least $1,000 in each stock. to balance the risks, you decide to invest no more than $7,000 in stock c and to limit the amount invested in c to less than 4 times the amount invested in stock a. you also decide to invest less than twice as much in stock b as in stock a. how much should you invest in each stock to maximize your expected profit? complete the constraints.