Martin is evaluating 4 projects for potential capital funding. However, he only has $90,000 for Year one, and $50,000 for the remaining three years to invest. Each of the four projects is projected to generate an expected return of $350,000, $400,000, $385,000, and $450,000 respectively. Based on the summary information provided, what is the Expected Return objective function?

Multiple Choice

• Expected Return = 4i=1 cixii=1 4cixi

• Expected Return = 90x₁ + 50x₂

• Expected Return = 4i=x1cixii=x14cixi

• Expected Return = 6i=1ai1xii

  Martin is evaluating 4 projects for potential capital funding. However, he only has $90,000 for Year one, and $50,000 for the remaining years to invest. Unfortunately, he cannot receive any additional funds unspent from year to year. Based on the following data, what is the constraint for the Year 1 integer programming formulation?

  Cash Investment	Project 1	Project 2	Project 3	Project 4
  Year 1	50	45	30	40
  Year 2	10	10	10	10
  Year 3	10	10	10	10
  Year 4	0	10	0	10
  Expected Return	350,000	400,000	385,000	450,000

  Multiple Choice

• = 4i=1 cixii=14 cixi

• = 4i=1 ai1xii=1 4ai1xi 90,000

• = 4i=1 aixii=14 aixi 50,000

• = 4i=1 ai1xii=14 ai1xi 165,000