Stockbroker Susan Drexler has advised her client as shown in the followingtable:InvestmentCost $($thousands$)$Expected Return $($annual thousands$)$Andover Municipal Bond$$400$$$35$Hamilton City Bond$$1000$$$100$East Power and Light$$350$$$30$Nebraska Electric$$700$$$65$Southern Gas and Electric$$490$$$45$Manual Products Co$.$$$270$$$20$Builders Paint Co$.$$$800$$$90$Rest Easy Hotels Co$.$$$500$$$50$The client agrees to this list but provides several conditions:$1.$ No more than $$3,000,000$ can be invested$\mathrm{.}2.$ The money is to be spread among at least $5$ investments$\mathrm{.}3.$ No more than $1$ type of bond can be purchased$\mathrm{.}4.$ At least $2$ utility stocks must be purchased$\mathrm{.}5.$ At least $2$ regular $($non$-$utility$)$ stocks must be purchased.Formulate this as a Binary IP problem $($each investment all or nothing$)$ for Ms$.$ Drexler to maximize expected return