An investor is considering the following two investments.•Investment 1 has an expected rate of return (profit) of 8% and costs $40 per share.•Investment 2 has an expected rate of return (profit) of 5% and costs $30 per share.The investor has $100 to invest to maximize her total expected rate of return, and shemust buy whole shares (not partial/factional shares) of the investments.(a) Formulate the investor’s integer programming problem.(b) Solve the investor’s problem using branch and bound and explain youranswer. How much of each investment does the investor purchase?

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